lodgment vs lodging

lodgment and lodging both are nouns.

Word	Noun	Adjective	Verb	Adverb
lodgment	Yes	No	No	No
lodging	Yes	No	No	No

As nouns, lodgment and lodging are synonyms defined as:

lodgment and lodging: the state or quality of being lodged or fixed even temporarily

Other synonyms of lodgment include lodgement.

lodgment (noun)	lodging (noun)
the state or quality of being lodged or fixed even temporarily	the act of lodging
	structures collectively in which people are housed
	the state or quality of being lodged or fixed even temporarily