Eidem rhymes with:
hasidim, odem, sephardim, acronym, ahlgrim, anglim, antrim, beachem, chaim, dahlem, dershem, exim, fillingim, ganem, ganim, gillem, goyim, hapoalim, hashem, hashim, hasidim, hatem, homonym, jachim, joachim, jochem, jochim, ketchem, knierim, laflamme, lathem, leathem, lockrem, maxxim, mechem, mellem, meriam, mitchem, naim, nissim, norem, odem, orem, ostrem, parkinsonism, salemme, salim, sephardim, solem, tatem, wasem, withem, yochim
Eidem sounds like:
eaten, eatman, eatmon, eaton, edam, edan, edana, edema, eden, edin, edina, edition, edman, edna, edney, edwin, edwina, eiden, ethan, ethane, ethene, etienne, etna, eton, ewton, eyton