minimum vs lower limit

minimum and lower limit both are nouns.

Word	Noun	Adjective	Verb	Adverb
minimum	Yes	Yes	No	No
lower limit	Yes	No	No	No

As nouns, minimum and lower limit are synonyms defined as:

minimum (noun)	lower limit (noun)
the point on a curve where the tangent changes from negative on the left to positive on the right	the limit on the lower (or southernmost) side of something
the smallest possible quantity	the smallest possible quantity

minimum (adjective)	lower limit (adjective)
the least possible