Lloyd Motor Engineering Co. Ltd., a former British motorbike manufacturer (W.A. Lloyd, Cycle Fittings, Clyde Works, later Lloyd Motor Engineering Co. Ltd., Birmingham (1907-1923))
I seem to recall that there was a connection between LMC and AKD (Abingdon King Dick, also of Birmingham <http://www.cybermotorcycle.com/euro/brands/abingdon.htm>). I think that LMC may have been just a rebadged AKD. But don't quote me on that for I might be wrong!
Peter C.