LCM for 39 and 57
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What's the Least Common Multiple (LCM) of 39 and 57?
Answer
LCM of 39 and 57 is
741
First common multiples: 741; 1,482; 2,223; …
741 is divisible by both: 741 ÷ 39 = 19, 741 ÷ 57 = 13 — and 19 and 13 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/39 by 19 and of y/57 by 13.
39 = 3 × 13
57 = 3 × 19
| Prime | 39 | 57 | Highest power |
|---|---|---|---|
| 3 | 3 | 3 | 3 |
| 13 | 13 | — | 13 |
| 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 = 3 × 13 × 19 = 741
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- 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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