LCM for 22 and 51
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What's the Least Common Multiple (LCM) of 22 and 51?
Answer
LCM of 22 and 51 is
1,122
First common multiples: 1,122; 2,244; 3,366; …
1,122 is divisible by both: 1,122 ÷ 22 = 51; 1,122 ÷ 51 = 22 — and 51 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 51 and of y/51 by 22.
22 and 51 are coprime (GCF = 1), so their LCM is simply the product: 22 × 51 = 1,122.
22 = 2 × 11
51 = 3 × 17
| Prime | 22 | 51 | Highest power |
|---|---|---|---|
| 2 | 2 | — | 2 |
| 3 | — | 3 | 3 |
| 11 | 11 | — | 11 |
| 17 | — | 17 | 17 |
— = 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 × 17 = 1,122
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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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