LCM for 37 and 49
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What's the Least Common Multiple (LCM) of 37 and 49?
Answer
LCM of 37 and 49 is
1,813
First common multiples: 1,813; 3,626; 5,439; …
1,813 is divisible by both: 1,813 ÷ 37 = 49; 1,813 ÷ 49 = 37 — and 49 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 49 and of y/49 by 37.
37 and 49 are coprime (GCF = 1), so their LCM is simply the product: 37 × 49 = 1,813.
37 — prime
49 = 72
| Prime | 37 | 49 | Highest power |
|---|---|---|---|
| 7 | — | 72 | 72 |
| 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 = 72 × 37 = 1,813
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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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