Can the husband have intercourse with one wife, then with the second wife, before washing himself?

Praise
be to Allah.

It is permissible for a man, if he has intercourse with one wife, to go to
the second wife and have intercourse with her before doing ghusl, because
of the report narrated by ‘Aa’ishah (may Allah be pleased with her) who
said: I used to put perfume on the Messenger of Allah (blessings and peace
of Allah be upon him) and he would go round to all his wives, then he
would enter ihram in the morning, smelling of perfume. al-Bukhaari (267) 

It
was narrated that Anas (may Allah be pleased with him) said: The Prophet
(blessings and peace of Allah be upon him) used to go around to all his
wives in one hour of the night or day, and they were eleven wives. He [the
narrator] said: I said to Anas: Was he able for that? He said: We used to
say that he had been given the strength of thirty men. Al-Bukhaari (268). 

And it was narrated from Anas (may Allah be pleased with him) that the
Prophet (blessings and peace of Allah be upon him) used to go around to his
wives with a single ghusl. Narrated by Muslim (309). 

More than one of the scholars narrated that there was scholarly consensus on
the permissibility of doing that. 

Ibn Battaal (may Allah have mercy on him) said: The scholars did not differ
with regard to the permissibility of having intercourse with several wives
with a single ghusl, according to what was narrated in the hadiths of
‘Aa’ishah and Anas.

End quote from Sharh Saheeh al-Bukhaari by Ibn Battaal (1/381) 

However it is preferable to do ghusl between the two acts of intercourse. 

Ahmad (22742) and Abu Dawood (219) narrated from Abu Raafi‘ that the Prophet
(blessings and peace of Allah be upon him) went around to all his wives one
day and he did ghusl with this one and with that one. I said to him: O
Messenger of Allah, why don’t you make it one ghusl? He said: “This is
cleaner and better and purer.” Classed as hasan by Shaykh al-Albaani (may
Allah have mercy on him) in Mishkaat al-Masaabeeh (no. 470). 

If
the man feels lazy or is not able to do ghusl, it is mustahabb for him to do
wudoo’ between the two acts of intercourse, because of the report narrated
by Muslim from Abu Sa‘eed al-Khudri (may Allah be pleased with him) who
said: The Messenger of Allah (blessings and peace of Allah be upon him)
said: “When one of you has intercourse with his wife then wants to repeat
it, let him do wudoo’ between the two (acts).” 

Al-Haakim (1/254) said: Because that will give him more energy to repeat it.
This additional material was classed as saheeh by Shaykh al-Albaani in
Saheeh al-Jaami‘ (no. 263). 

As-San‘aani (may Allah have mercy on him) said: This indicates that it is
prescribed to do wudoo’ for the one who wants to repeat intercourse with his
wife. It is also proven that the Prophet (blessings and peace of Allah be
upon him) was intimate with his wives and did not do wudoo’ between the two
acts; and it is narrated that he did ghusl after being intimate with each
one of them. All of these practices are permissible.

End quote from Subul as-Salaam (1/89) 

If
a man feels lazy or is not able to do wudoo’, it is mustahabb for him to
wash his private part and any areas that have been contaminated. This is
emphasised if he wants to have intercourse with a wife with whom he has not
yet had intercourse, because of the report narrated by al-Bukhaari (290) and
Muslim (306): ‘Umar ibn al-Khattaab mentioned to the Messenger of Allah
(blessings and peace of Allah be upon him) that he became junub at night,
and the Messenger of Allah (blessings and peace of Allah be upon him) said
to him: “Do wudoo’ and wash your private part, then sleep.” 

Imam Muslim (may Allah have mercy on him) entitled a chapter in his
Saheeh: “It is permissible for one who is junub to sleep, but it is
mustahabb for him to do wudoo’ and wash his private parts if he wants to
eat, drink, sleep or have intercourse again” 

An-Nawawi (may Allah have mercy on him) said: 

The hadiths all indicate that it is permissible for one who is junub to
sleep, eat, drink, or have intercourse again before doing ghusl. There is
scholarly consensus on this point. They also indicate that it is mustahabb
to do wudoo’ and wash one’s private part before doing any of these things,
especially if he wants to have intercourse with a wife with whom he has not
yet had intercourse, in which case it is particularly encouraged to wash his
private part.

End quote from Sharh Muslim (1/499) 

Note: 

We
stated above that the Prophet (blessings and peace of Allah be upon him)
went around to his wives in one night with a single ghusl. 

There is nothing in this hadith to suggest that the one who has more than
one wife may enter upon them and have intercourse with them all on the night
that is allocated to one of them, unless he has the consent of all of them. 

An-Nawawi (may Allah have mercy on him) said: It may be said that the fuqaha’
said: The minimum division of time is one night for each wife, so how could
he go around to all of them in one night? 

That may be answered in two points: 

1.    
That it was with
the consent of all of them; there is no difference of opinion concerning the
permissibility of him doing that with their consent, no matter how it is
expressed. 

2.    
Was division of
time in the case of the Prophet (blessings and peace of Allah be upon him)
obligatory at all times? 

There is a difference of opinion concerning that among our companions. Abu
Sa‘eed al-Astakhari said that it was not obligatory; rather he used to
divide his time equally, and draw lots among them as an act of kindness and
something that he did voluntarily, not by way of it being obligatory. But
the majority said that it was obligatory. Based on the view of al-Astakhari
there is no problem. And Allah knows best.

End quote from Sharh Muslim 

The third response is that which was stated by Ibn ‘Abd al-Barr (may Allah
have mercy on him) when he said: 

This refers to times when he came from travelling and the like, at a time
when one of them did not have a specific day, so he had intercourse with all
of them at that time, then he shared his time equally between them after
that. And Allah knows best, because they were free women and his Sunnah
(blessings and peace of Allah be upon him) was to divide his time fairly
among them, and not to be intimate with one of them on the day of another. 

End quote from al-Istidhkaar (1/263) 

And Allah knows best.