The Apostle of Allah ﷺ said: When a man has sexual intercourse, bathing becomes obligatory (both for the male and the female). In the hadith of Matar the words are: Even if there is no orgasm. Zuhair has narrated it with a minor alteration of words.
أَنَّ نَبِيَّ اللَّهِ ﷺ قَالَ إِذَا جَلَسَ بَيْنَ شُعَبِهَا الأَرْبَعِ ثُمَّ جَهَدَهَا فَقَدْ وَجَبَ عَلَيْهِ الْغُسْلُ وَفِي حَدِيثِ مَطَرٍ وَإِنْ لَمْ يُنْزِلْ قَالَ زُهَيْرٌ مِنْ بَيْنِهِمْ بَيْنَ أَشْعُبِهَا الأَرْبَعِ
[Machine] On the authority of the Prophet ﷺ , he said, "When a man sits between the four parts of his wife's body and then ejaculates, it becomes obligatory for him to perform ghusl (ritual bath)." And in the hadith of Mutarr, the Prophet ﷺ said, "Even if he does not ejaculate."
عَنِ النَّبِيِّ ﷺ قَالَ «إِذَا جَلَسَ بَيْنَ شُعَبِهَا الْأَرْبَعِ ثُمَّ جَهَدَهَا فَقَدْ وَجَبَ الْغُسْلُ» وَفِي حَدِيثِ مَطَرٍ «وَإِنْ لَمْ يُنْزِلْ»
as the following Hadith 290. Narrated Abu Huraira: The Prophet ﷺ said, "When a man sits in between the four parts of a woman and did the sexual intercourse with her, bath becomes compulsory." (Using translation from Bukhārī 291)
"إِذَا جَلسَ بينَ شُعبها الأرْبَع، ثمَّ جَهَدها فقدْ وَجبَ عليه الغُسْلُ، وإنْ لمْ يُنزلْ".