I don't know about the LM, but the CS600 basically sounds like an excellent EL34 amp. That, it should be noted, is a very, very different sound from that of the Luxman 509, which sounds like an excellent Class A solid-state amp.
Your original question is kind of like asking, which is better, a Ferrari or a Rolls Royce? You are the only person who can answer that question for yourself. If you're not familiar with the sound of EL34 tubes and Class A solid-state amps, you really ought to try and find some to listen to before you make this kind of investment.