LCM for 31 and 32
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What's the Least Common Multiple (LCM) of 31 and 32?
Answer
LCM of 31 and 32 is
992
First common multiples: 992; 1,984; 2,976; …
992 is divisible by both: 992 ÷ 31 = 32, 992 ÷ 32 = 31 — and 32 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 32 and of y/32 by 31.
31 and 32 are coprime (GCF = 1), so their LCM is simply the product: 31 × 32 = 992.
31 — prime
32 = 25
| Prime | 31 | 32 | Highest power |
|---|---|---|---|
| 2 | — | 25 | 25 |
| 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 = 25 × 31 = 992
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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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