Here's what rhymes with eireann.
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rang lamb ram yang lam lang langue yam hang dam damn gang sang gram jam bang cam ham sham slang clam nam pang slam tam tang tram chang clang cram dram fang gramme dang jamb pram wham glam flambe prang sprang swam harangue scam spam scram rehang diagram diaphragm exam epigram overhang anagram buckram cofferdam doorjamb shebang telegram kilogram hologram milligram monogram boomerang sonogram grandam whizzbang histogram quondam mammogram cablegram ideogram pentagram centigram orangutang kissogram diazepam hexagram radiogram cardiogram parallelogram electrocardiogram electroencephalogram hasn