Aside from the obvious consideration of antenna and specific location, most of Culver City should be pretty well suited to hear most of LAPD's repeated frequencies. All of the West Bureau "base/dispatch" frequencies for sure (Hollywood, Wilshire, West L.A., and Pacific patrol areas, and West Traffic Division), and most of the other bureaus too.
For a few of the other areas, especially some Valley frequencies, it could be a little problematic, especially if you're in a shadowed area, like tucked up against the hills southeast of Jefferson/Overland. It just depends on which TX site they're using.
Keep in mind that LAPD's 15 tactical frequencies and 23 divisional "enhanced/fallback" (aka "Simplex") frequencies are used in a mix of repeater and simplex mode, usually depending on each officer's choice. When repeated they should all do pretty well, but when they go simplex the range will be reduced dramatically. It's not terribly unusual to hear only one side of a car-to-car conversation, when one unit is going through the repeater and the other is in simplex.
I don't know LAFD's coverage contours very well, but since they use repeaters for so much of their traffic, most of their signals should get into CC just fine.
Finally, if you're fairly new to monitoring LAPD, you're not going to be hearing most routine calls being dispatched, as they go by MDT only and not by voice. But the voice frequencies will keep your scanner plenty busy with the urgent and emergency calls and all the other things they come up with to talk about.