Find the least common multiple of two or more whole numbers.
Fraction arithmetic, decimal-to-fraction conversion, ratios and proportions.
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LCM(12, 18) = 36.
Find the least common multiple of two or more whole numbers. The result is intended for quick estimates, checking arithmetic and comparing scenarios. When a result affects a contract, tax filing, medical decision, building-code requirement or other high-stakes situation, verify the result with the appropriate professional or authoritative source.
Events repeating every 12, 18, and 30 days align again after 180 days, their least common multiple. Factorization confirms this: 12 = 2² × 3, 18 = 2 × 3², and 30 = 2 × 3 × 5; take the highest powers to get 2² × 3² × 5 = 180.
When to use it: LCM is handy for repeat intervals and common fraction denominators. It is not the same as the greatest common factor, and calendar schedules may require a separate treatment of weekends and holidays.
Find the least common multiple of two or more whole numbers.
For two nonzero integers a and b, LCM(a,b) = |a×b| ÷ GCD(a,b). Apply the operation repeatedly for more values.
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