last minute vs moment

last minute and moment both are nouns.

Word	Noun	Adjective	Verb	Adverb
last minute	Yes	No	No	No
moment	Yes	No	No	No

As nouns, moment is a hypernym of last minute; that is, moment is a word with a broader meaning than last minute:

Other hypernyms of last minute include instant, minute, second.

last minute (noun)	moment (noun)
the latest possible moment	having important effects or influence
	the n-th moment of a distribution is the expected value of the n-th power of the deviations from a fixed value
	a turning force produced by an object acting at a distance (or a measure of that force)
	a particular point in time
	an indefinitely short time
	at this time