LCM Calculator
Lowest common multiple, computed without overflowing.
Lowest common multiple, computed without overflowing. The lowest common multiple of two or more numbers.
Optional.
Optional.
Lowest common multiple
36
GCF is 6
The GCF and LCM are linked: for two numbers, GCF × LCM equals the product of the numbers themselves. Here 6 × 36 accounts for every prime factor exactly once between them — the GCF taking the shared ones and the LCM the union.
How the LCM Calculator works
The lowest common multiple of two or more numbers. It is computed as a ÷ gcf × b rather than a × b ÷ gcf, so the intermediate value stays small — the obvious ordering overflows on inputs whose product is large even when the answer is not.
Also known as: lowest common multiple · least common multiple calculator · common denominator calculator · lcm of two numbers
Where to go next
The LCM question rarely arrives on its own. These are the ones that usually come with it:
- GCF Calculator — Greatest common factor, with every common factor listed.
- Prime Factorization Calculator — Prime factors, the divisor count, and where it comes from.
- Fraction to Decimal Calculator — Decimal, percentage, and whether it terminates.
- Percentage Calculator — Every common percentage question in one place.
Frequently asked questions
How do I find the lowest common multiple?
Divide the product of the numbers by their greatest common factor. For 4 and 6 that is 24 ÷ 2 = 12.
What is the LCM used for?
Most often finding a common denominator when adding fractions. It is also what determines when two repeating cycles line up again.
Is the LCM always the product of the numbers?
Only when they are coprime. If they share factors, the LCM is smaller — 4 and 6 have an LCM of 12, not 24.
Can I find the LCM of more than two numbers?
Yes — take them in pairs, LCM the first two, then LCM that result with the next. This page accepts up to four.
Put this calculator on your own site
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Related calculators
GCF Calculator
Greatest common factor, with every common factor listed.
OpenPrime Factorization Calculator
Prime factors, the divisor count, and where it comes from.
OpenFraction to Decimal Calculator
Decimal, percentage, and whether it terminates.
OpenPercentage Calculator
Every common percentage question in one place.
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