LCM for 22 and 57
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What's the Least Common Multiple (LCM) of 22 and 57?
Answer
LCM of 22 and 57 is
1,254
First common multiples: 1,254; 2,508; 3,762; …
1,254 is divisible by both: 1,254 ÷ 22 = 57; 1,254 ÷ 57 = 22 — and 57 and 22 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/22 by 57 and of y/57 by 22.
22 and 57 are coprime (GCF = 1), so their LCM is simply the product: 22 × 57 = 1,254.
22 = 2 × 11
57 = 3 × 19
| Prime | 22 | 57 | Highest power |
|---|---|---|---|
| 2 | 2 | — | 2 |
| 3 | — | 3 | 3 |
| 11 | 11 | — | 11 |
| 19 | — | 19 | 19 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 3 × 11 × 19 = 1,254
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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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