LCDH = La Casa Del Habano. It is an international franchise of cigar stores symbolic of only stocking authentic cuban cigars. So if you shop there, it is supposed to ease any fears of buying a fake cuban smoke.
Just some trivia for you... The first international LCDH opened in Cancun, MX sometime in the early 1990s. I think the same cigars are still in the humidor. LOL!