When thinking about Lofts in LA most people think about Downtown. Yes, Downtown has the largest concentration of LOFTS in LA and the buildings are bigger and with more units, but more and more areas are popping up with LOFTS everyday.
You can also find LOFTS in Venice, Santa Monica, Marina del Rey, Hollywood, West Hollywood, Long Beach, Pasadena and more.
Whatever your price range is, Los Angeles is a great place to find LOFTS. Most of the buildings can be found on this website.