LCM for 31 and 33
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What's the Least Common Multiple (LCM) of 31 and 33?
Answer
LCM of 31 and 33 is
1,023
First common multiples: 1,023; 2,046; 3,069; …
1,023 is divisible by both: 1,023 ÷ 31 = 33; 1,023 ÷ 33 = 31 — and 33 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 33 and of y/33 by 31.
31 and 33 are coprime (GCF = 1), so their LCM is simply the product: 31 × 33 = 1,023.
31 — prime
33 = 3 × 11
| Prime | 31 | 33 | Highest power |
|---|---|---|---|
| 3 | — | 3 | 3 |
| 11 | — | 11 | 11 |
| 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 = 3 × 11 × 31 = 1,023
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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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