LCM for 31 and 56
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What's the Least Common Multiple (LCM) of 31 and 56?
Answer
LCM of 31 and 56 is
1,736
First common multiples: 1,736; 3,472; 5,208; …
1,736 is divisible by both: 1,736 ÷ 31 = 56; 1,736 ÷ 56 = 31 — and 56 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 56 and of y/56 by 31.
31 and 56 are coprime (GCF = 1), so their LCM is simply the product: 31 × 56 = 1,736.
31 — prime
56 = 23 × 7
| Prime | 31 | 56 | Highest power |
|---|---|---|---|
| 2 | — | 23 | 23 |
| 7 | — | 7 | 7 |
| 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 = 23 × 7 × 31 = 1,736
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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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