The List
There are 331 6 letter words with M as the last letter. The highest scoring is ZUZZIM at 35 points in Scrabble. 1 of them contain no vowel at all: RHYTHM.
ABLOOMACETUMADDEEMADDOOMADYTUMAECIUMAFFIRMAGEISMAGLEAMALARUMALLIUMAMOMUMAMYLUMANADEMANONYMANTHEMANTRUMAPEDOMAPOZEMASARUMASHRAMASWARMASYLUMATRIUMAUTISMBAALIMBALSAMBANTAMBARIUMBECALMBEDLAMBEFLUMBEFOAMBEGRIMBELDAMBESEEMBETEEMBETRIMBEWORMBIFORMBIVIUMBONHAMBONISMBOOJUMBOTTOMBUNKUMBYROOMCAECUMCARROMCENTUMCERIUMCESIUMCHIASMCHRISMCILIUMCIVISMCOELOMCONDOMCONIUMCOPALMCORIUMCRINUMCUBISMCUNDUMCUPRUMCURIUMCUSTOMDADGUMDEFOAMDEFORMDEGERMDEPERMDERHAMDEWORMDIADEMDIATOMDICTUMDINKUMDIRDAMDIRDUMDIRHAMDIRHEMDISARMDODGEMDOGDOMDOLIUMDORSUMDOTCOMDRACHMDUDISMDUMDUMDURDUMECHIUMEGOISMEMBALMEMBLEMENCALMENFORMENGRAMENSEAMEONISMEPONYMERBIUMERUVIMESTEEMESTRUMEXACUMEXONYMFACTUMFANDOMFANTOMFATHOMFAVISMFERBAMFERRUMFIGJAMFOGRAMFOLIUMFRENUMFULHAMFULLAMGONIUMGRAHAMGRANUMGYPSUMHAKEEMHAMMAMHANSOMHAREEMHELIUMHOLISMHUMHUMHUMMUMHYLISMHYPNUMIBIDEMIDOLUMIMBALMINDIUMINFIRMINFORMINGRAMINGRUMINSEAMINSEEMIODISMIONIUMITERUMJETSAMJETSOMJIMJAMKALIUMKHANUMKHILIMLABIUMLABRUMLACTAMLAXISMLEHAIMLIGNUMLINGAMLISSOMLOGJAMLOLIUMLUTEUMLYCEUMLYRISMMADTOMMAGISMMAGNUMMAIHEMMALISMMALLAMMANDOMMARMEMMARRAMMARRUMMAYHEMMEDIUMMEGOHMMEGRIMMENTUMMERISMMESTOMMILIUMMINIUMMISAIMMOMISMMONISMMONTEMMULTUMMURRAMMUSEUMMUTISMMUTUUMNANISMNAPALMNICKUMNINCOMNINCUMNOMISMNONCOMOBEISMOBIISMOGRISMOIDIUMOMASUMOMNIUMOSMIUMOSTIUMOUTSUMPABLUMPACTUMPAINIMPAPISMPARTIMPASHIMPASSIMPAYNIMPELHAMPELLUMPENSUMPEPLUMPHENOMPHLEGMPHLOEMPHYLUMPILEUMPLENUMPODIUMPOGROMPOMPOMPORISMPOSSUMPREARMPRELIMPURISMQUIDAMQUORUMQUOTUMRACISMRADIUMRANDEMRANDOMRANSOMREDEEMREFILMREFORMREGNUMREPLUMRESTEMRETEAMRETRIMREWARMRHYTHMROMCOMSACHEMSACRUMSALAAMSCHELMSCHISMSCHTUMSCRAWMSCREAMSCUTUMSELDOMSEMSEMSENSUMSEPIUMSEPTUMSEXISMSHALOMSHAZAMSHOLOMSHROOMSHTOOMSHTUMMSIGLUMSIMOOMSITCOMSIZISMSKELUMSLALOMSODIUMSPIREMSPUTUMSPYCAMSQUIRMSTATIMSTREAMSTROAMSUBGUMSYNCOMSYSTEMTALCUMTANDEMTECTUMTEDIUMTELESMTELIUMTERGUMTHAIRMTHEISMTHIRAMTOMIUMTRUISMUNFIRMUNFORMUNHELMUNSEAMUNTEAMUNTRIMVACUUMVAGROMVALIUMVALLUMVAROOMVELLUMVERISMVICTIMVISCUMWABOOMWAMPUMWEBCAMWHILOMWIGWAMWISDOMXENIUMYOGISMZUZZIMZYTHUM