lather vs cleanse

lather is a noun but cleanse is not a noun.

Word	Noun	Adjective	Verb	Adverb
lather	Yes	No	Yes	No
cleanse	No	No	Yes	No

As verbs, cleanse is a hypernym of lather; that is, cleanse is a word with a broader meaning than lather:

Other hypernyms of lather include clean.

lather (noun)	cleanse (noun)
the froth produced by soaps or detergents
the foam resulting from excessive sweating (as on a horse)
a workman who puts up laths
agitation resulting from active worry

lather (verb)	cleanse (verb)
rub soap all over, usually with the purpose of cleaning	clean one's body or parts thereof, as by washing
exude sweat or lather	purge of an ideology, bad thoughts, or sins
form a lather
beat severely with a whip or rod