LCM for 37 and 51
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What's the Least Common Multiple (LCM) of 37 and 51?
Answer
LCM of 37 and 51 is
1,887
First common multiples: 1,887; 3,774; 5,661; …
1,887 is divisible by both: 1,887 ÷ 37 = 51; 1,887 ÷ 51 = 37 — and 51 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 51 and of y/51 by 37.
37 and 51 are coprime (GCF = 1), so their LCM is simply the product: 37 × 51 = 1,887.
37 — prime
51 = 3 × 17
| Prime | 37 | 51 | Highest power |
|---|---|---|---|
| 3 | — | 3 | 3 |
| 17 | — | 17 | 17 |
| 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 = 3 × 17 × 37 = 1,887
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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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