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There are only 2 Delta Sky Clubs at LAX, located in Terminal 2 Mezzanine or Terminal 3 Sky Way.
There is also a Korean Airlines Lounge you can use in Terminal B South Side Wing – on 4th floor.
Your lounge access depends on where you are flying and what type of ticket you are flying on.
Here is a link for all Sky Team lounges at LAX and HND.
delta.com
Delta Sky Club Locations | Delta Air Lines
Want to get away from the gate? Step inside a Delta Sky Club® and enjoy a relaxing atmosphere with enhanced touches.