I'm not too sure. CR stats written by Metzen himself put them on the exact same level (Both at 50, Kil'Jaeden at 59, Sargaras at 76 and Elune at 93 in case you were wondering).
Archimonde also beat Malorne, who could take on armies by himself.
dude dont make Lich King vs threads, we dont really know what he is capable of especially now that hes merged with Arthas and he is free, i doubt archimonde would stand a chance, even kiljeadon has lost the power to see into what the Lich king is up to
Are you sure this is the Lich King AFTER Arthas combined him with him? Anyway, I wonder how Elune could be 93, she doesn't do a shit really, well gives the night elves strenght but.... Mabey the levels aren't entierly based on combat skills but just power, which does not equal combat power...
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well none of the heroes who fought archimonde could beat him. I don't see how the leich king could kill archimonde. it took the very spirits of "earth" to kill him.
but nobody knows exactly what the leich king can do.