LCM for 31 and 38
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What's the Least Common Multiple (LCM) of 31 and 38?
Answer
LCM of 31 and 38 is
1,178
First common multiples: 1,178; 2,356; 3,534; …
1,178 is divisible by both: 1,178 ÷ 31 = 38; 1,178 ÷ 38 = 31 — and 38 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 38 and of y/38 by 31.
31 and 38 are coprime (GCF = 1), so their LCM is simply the product: 31 × 38 = 1,178.
31 — prime
38 = 2 × 19
| Prime | 31 | 38 | Highest power |
|---|---|---|---|
| 2 | — | 2 | 2 |
| 19 | — | 19 | 19 |
| 31 | 31 | — | 31 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 19 × 31 = 1,178
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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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