LCM for 41 and 42
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What's the Least Common Multiple (LCM) of 41 and 42?
Answer
LCM of 41 and 42 is
1,722
First common multiples: 1,722; 3,444; 5,166; …
1,722 is divisible by both: 1,722 ÷ 41 = 42; 1,722 ÷ 42 = 41 — and 42 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 42 and of y/42 by 41.
41 and 42 are coprime (GCF = 1), so their LCM is simply the product: 41 × 42 = 1,722.
41 — prime
42 = 2 × 3 × 7
| Prime | 41 | 42 | Highest power |
|---|---|---|---|
| 2 | — | 2 | 2 |
| 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 = 2 × 3 × 7 × 41 = 1,722
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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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