LCM for 21 and 41
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What's the Least Common Multiple (LCM) of 21 and 41?
Answer
LCM of 21 and 41 is
861
First common multiples: 861; 1,722; 2,583; …
861 is divisible by both: 861 ÷ 21 = 41, 861 ÷ 41 = 21 — and 41 and 21 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/21 by 41 and of y/41 by 21.
21 and 41 are coprime (GCF = 1), so their LCM is simply the product: 21 × 41 = 861.
21 = 3 × 7
41 — prime
| Prime | 21 | 41 | Highest power |
|---|---|---|---|
| 3 | 3 | — | 3 |
| 7 | 7 | — | 7 |
| 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 = 3 × 7 × 41 = 861
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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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