dame vs madam

dame and madam both are nouns.

Word	Noun	Adjective	Verb	Adverb
dame	Yes	No	No	No
madam	Yes	No	No	No

As nouns, dame and madam are synonyms defined as:

Other synonyms of dame include gentlewoman, lady, ma'am.

dame (noun)	madam (noun)
informal terms for a (young) woman	a woman of refinement
a woman of refinement	a woman who runs a house of prostitution