Does LA only have one hospital room?

I just discovered this show recently, and I'm in season 2 right now. There have been four or five episodes recently with a scene in a hospital room, and it always looks like the exact same room.

The insurance scam lady that Tim rear-ended, the serial killer DOD victim who got rescued, and Chen after her rescue, were all staying in the same room, and being treated by the same doctor. (Grace) Isn't LA a big city??