dishwashing machine vs dishwasher

dishwashing machine and dishwasher both are nouns.

Word	Noun	Adjective	Verb	Adverb
dishwashing machine	Yes	No	No	No
dishwasher	Yes	No	No	No

As nouns, dishwashing machine and dishwasher are synonyms defined as:

Other synonyms of dishwashing machine include dish washer.

dishwashing machine (noun)	dishwasher (noun)
a machine for washing dishes	a machine for washing dishes
	someone who washes dishes