Al-Saud posted a $300,000 bond Thursday and was released.
Neighbor Tennyson Collins told the Los Angeles Times that a resident at the home, which he called a compound, phoned police Wednesday afternoon about the woman. Madison said officers received the call about 12:45 p.m. and when they responded, they determined there were other victims who were alleging criminal threats.
Al-Saud was taken into custody and booked after 4 p.m., according to reports. He was released on Thursday afternoon.
Los Angeles police Capt. Tina Nieto told the newspaper that authorities determined the prince does not have diplomatic immunity in the case — a protection other foreign nationals have recently tried to claim.
Earlier this month, a Qatari prince who was later identified as Sheikh Khalid bin Hamad al Thani, was caught on cellphone cameras racing a yellow Ferrari LaFerrari through residential roads in Beverly Hills. The incident prompted a State Department investigation as al Thani claimed he had immunity.
Authorities determined he did not and al Thani left the country, traveling back to Qatar.
Al-Saud is scheduled to appear in court Oct. 19, according to news reports.
This story has been updated.