LCM for 41 and 52
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What's the Least Common Multiple (LCM) of 41 and 52?
Answer
LCM of 41 and 52 is
2,132
First common multiples: 2,132; 4,264; 6,396; …
2,132 is divisible by both: 2,132 ÷ 41 = 52; 2,132 ÷ 52 = 41 — and 52 and 41 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/41 by 52 and of y/52 by 41.
41 and 52 are coprime (GCF = 1), so their LCM is simply the product: 41 × 52 = 2,132.
41 — prime
52 = 22 × 13
| Prime | 41 | 52 | Highest power |
|---|---|---|---|
| 2 | — | 22 | 22 |
| 13 | — | 13 | 13 |
| 41 | 41 | — | 41 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 13 × 41 = 2,132
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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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