Hey Ed, It has only been about 8 hours since you posted the link... give us time to have our coffee before we offer advice or knowledge...
The forum search engine is your friend... Here is an OLD thread that discusses possibly the same Luger but you can't be sure since the thread is old enough (11 years) that the associated photos have fallen off the edge of the server... but the discussion, including the humor, is still valid.
http://forum.lugerforum.com/showthre...light=Kl+Luger
The best advice in the thread is from "Navy", who for those who don't know, is my late friend Tom Armstrong, whose knowledge was second to none in this collecting community... Tom said "The KL meaning is unknown;" ... I don't think that has changed.