Catalyzes the migration of the L-beta-lysine and D-lysine epsilon amino group to the delta carbon to produce 3,5-diaminohexanoate and 2,5-diaminohexanoate, respectively. (3S)-3,6-diaminohexanoate = (3S,5S)-3,5-diaminohexanoate D-lysine = (2R,5S)-2,5-diaminohexanoate Rapidly inactivated in the presence of D-lysine and to a lesser extent in the absence of adenosylcobalamin (Adocbl). Activity is stable in the presence of Adocbl when D-lysine is absent. Adocbl imparts thermal stability at 37 degrees Celsius. Amino-acid metabolism; lysine degradation. Heterotetramer of 2 alpha and 2 beta subunits. Belongs to the KamE family.