do the lakers and the clippers play on the same court

Yes

Sure do!! The wood floor goes right on top of the ice in 3 hours. And they can put either the Clippers Court or Laker Court down depending on who is playing that night. Not unusual to have a 12pm ice hockey game and when finished then a 7pm NBA game. Amazing!!!

Yes they do. There's an amazing staff that changes the court and court-seats as well as hoops each day a team plays. The staple center also hosts hockey games.