LCM for 31 and 37
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What's the Least Common Multiple (LCM) of 31 and 37?
Answer
LCM of 31 and 37 is
1,147
First common multiples: 1,147; 2,294; 3,441; …
1,147 is divisible by both: 1,147 ÷ 31 = 37; 1,147 ÷ 37 = 31 — and 37 and 31 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/31 by 37 and of y/37 by 31.
31 and 37 are coprime (GCF = 1), so their LCM is simply the product: 31 × 37 = 1,147.
31 — prime
37 — prime
| Prime | 31 | 37 | Highest power |
|---|---|---|---|
| 31 | 31 | — | 31 |
| 37 | — | 37 | 37 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 31 × 37 = 1,147
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See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
- Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
- Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
- Multiples of a Number - List the first 10 multiples of any number from 1 to 999
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