Below is a List of Police buildings owned and operated by the Los Angeles Police Department. The locations and precincts have varied by film, as each building has an obviously different interior whenever Team Riggs/Murtaugh are solving a case.
This is a first police precinct shown in the series. This is where Roger Murtaugh meets Martin Riggs for the very first time:
Now in a different building, Murtaugh is shown to have his own desk near the other cops working on the Krugerrand case:
Being a common backdrop of this film, many previously unexplored areas of a police station are seen here, such as an interrogation room, an elevator, and the special police basement where Jack Travis stores his "cop killer" located in the proximity of a nearby subway station:
This police station is a combination of the second and third incarnations as they appear very similar to each other: