lodgement vs lodging

lodgement and lodging both are nouns.

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

As nouns, lodgement and lodging are synonyms defined as:

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

Other synonyms of lodgement include lodgment.

lodgement (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