Owen brings up the most important point here: Koha has a community around it, while LK only has LibLime. Anyone in the world can contribute to Koha, either with patches sent to the patches mailing list [1], with bug reports filed in the Bugzilla database [2], by sharing reports/jqueries/tips/tricks on either the discussion list [3], wiki [4] or newsletter [5], or by participation in IRC discussion [6]. LK has none of those community tools (at least not anywhere where I could find them!). A statistical work up of the two codebases has been done recently, which is interesting for what it's worth [7].
One can watch Koha's codebase grow daily [8]. LK, like it's predecessor Harley, seems to be a static release rather than a living, growing organism, though I've been told that LibLime does have versions 4.4 and 4.6 in use for their clients (though not released as open source at this time).
As a Koha developer and officer, I'll readily admit my bias, but hopefully the links below, as well as other posts on this thread, can help folks make their own decisions.
Cheers,
-Ian
1.
http://lists.koha-community.org/cgi-bin/mailman/listinfo/koha-patches2.
http://bugs.koha-community.org
3.
http://lists.katipo.co.nz/mailman/listinfo/koha4.
http://wiki.koha-community.org5.
http://koha-community.org/category/koha-newsletter/
6.
http://stats.workbuffer.org/irclog/koha/7.
http://blog.bigballofwax.co.nz/2011/05/24/i-love-pulling-statistics-out-of-git/
8.
http://git.koha-community.org/gitweb/?p\x3dkoha.git;a\x3drss