lodge vs lodgement

lodge and lodgement both are nouns.

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

lodge (noun)	lodgement (noun)
any of various Native American dwellings	the state or quality of being lodged or fixed even temporarily
a hotel providing overnight lodging for travelers
a small (rustic) house used as a temporary shelter
small house at the entrance to the grounds of a country mansion; usually occupied by a gatekeeper or gardener
a formal association of people with similar interests