LCM for 31 and 52
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What's the Least Common Multiple (LCM) of 31 and 52?
Answer
LCM of 31 and 52 is
1,612
First common multiples: 1,612; 3,224; 4,836; …
1,612 is divisible by both: 1,612 ÷ 31 = 52; 1,612 ÷ 52 = 31 — and 52 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 52 and of y/52 by 31.
31 and 52 are coprime (GCF = 1), so their LCM is simply the product: 31 × 52 = 1,612.
31 — prime
52 = 22 × 13
| Prime | 31 | 52 | Highest power |
|---|---|---|---|
| 2 | — | 22 | 22 |
| 13 | — | 13 | 13 |
| 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 = 22 × 13 × 31 = 1,612
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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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