LCM for 56 and 57
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What's the Least Common Multiple (LCM) of 56 and 57?
Answer
LCM of 56 and 57 is
3,192
First common multiples: 3,192; 6,384; 9,576; …
3,192 is divisible by both: 3,192 ÷ 56 = 57; 3,192 ÷ 57 = 56 — and 57 and 56 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/56 by 57 and of y/57 by 56.
56 and 57 are coprime (GCF = 1), so their LCM is simply the product: 56 × 57 = 3,192.
56 = 23 × 7
57 = 3 × 19
| Prime | 56 | 57 | Highest power |
|---|---|---|---|
| 2 | 23 | — | 23 |
| 3 | — | 3 | 3 |
| 7 | 7 | — | 7 |
| 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 = 23 × 3 × 7 × 19 = 3,192
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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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