LCM for 37 and 56
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What's the Least Common Multiple (LCM) of 37 and 56?
Answer
LCM of 37 and 56 is
2,072
First common multiples: 2,072; 4,144; 6,216; …
2,072 is divisible by both: 2,072 ÷ 37 = 56; 2,072 ÷ 56 = 37 — and 56 and 37 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/37 by 56 and of y/56 by 37.
37 and 56 are coprime (GCF = 1), so their LCM is simply the product: 37 × 56 = 2,072.
37 — prime
56 = 23 × 7
| Prime | 37 | 56 | Highest power |
|---|---|---|---|
| 2 | — | 23 | 23 |
| 7 | — | 7 | 7 |
| 37 | 37 | — | 37 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 23 × 7 × 37 = 2,072
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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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