lunar month vs lunation

lunar month and lunation both are nouns.

Word	Noun	Adjective	Verb	Adverb
lunar month	Yes	No	No	No
lunation	Yes	No	No	No

As nouns, lunar month and lunation are synonyms defined as:

lunar month and lunation: the period between successive new moons (29.531 days)

Other synonyms of lunar month include moon, synodic month.

lunar month (noun)	lunation (noun)
the period between successive new moons (29.531 days)	the period between successive new moons (29.531 days)