LCM for 37 and 53
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What's the Least Common Multiple (LCM) of 37 and 53?
Answer
LCM of 37 and 53 is
1,961
First common multiples: 1,961; 3,922; 5,883; …
1,961 is divisible by both: 1,961 ÷ 37 = 53; 1,961 ÷ 53 = 37 — and 53 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 53 and of y/53 by 37.
37 and 53 are coprime (GCF = 1), so their LCM is simply the product: 37 × 53 = 1,961.
37 — prime
53 — prime
| Prime | 37 | 53 | Highest power |
|---|---|---|---|
| 37 | 37 | — | 37 |
| 53 | — | 53 | 53 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 37 × 53 = 1,961
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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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