Farm the Clean Sweep Operation missions and do the 80 stam Secret Garden quests:
You'll get about 4 LC for each clear of the "extreme" mission, 40 Honor Medals, and a chance for the Secret Garden (guaranteed 10 LCs). You can trade in 240 Honor Medals for 10 LCs (up to 10 times). So 6 runs will net a minimum of 24 LCs (34 if you can cash in medals) and a maximum of 94 LCs (if you somehow manage to get a Secret Garden each time which is -really- unlikely).