Lathem rhymes with:
leathem, withem, acronym, ahlgrim, anglim, antrim, beachem, chaim, dahlem, dershem, eidem, exim, fillingim, ganem, ganim, gillem, goyim, hapoalim, hashem, hashim, hasidim, hatem, homonym, jachim, joachim, jochem, jochim, ketchem, knierim, laflamme, leathem, lockrem, maxxim, mechem, mellem, meriam, mitchem, naim, nissim, norem, odem, orem, ostrem, parkinsonism, salemme, salim, sephardim, solem, tatem, wasem, withem, yochim
Lathem sounds like:
laden, ladino, laitinen, laotian, latenan, latham, lathan, lathon, latin, latina, latini, latino, laton, latona, latonia, lattin, laudanum, laudon, lauten, lawton, layden, laythan, layton, leaden, leatham, leathem, leaton, ledden, ledeen, ledin, ledonne, leedham, leedom, lehtinen, lehtonen, leitman, letdown, lewton, leyden, liden, litan, litany, litem, lithium, lithuania, lithuanian, litman, litten, littman, littmann, litton, litwin, loadman, lodema, loden, lothian, lotion, loton, lottman, louden, loudin, loudon, louthan, lowden, lowdown, loyalton, ludden, ludeman, ludemann, ludwin, luten, lutman, luton, luttman, lutton, lyden, lydon, lytton