LCM for 13 and 42
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What's the Least Common Multiple (LCM) of 13 and 42?
Answer
LCM of 13 and 42 is
546
First common multiples: 546; 1,092; 1,638; …
546 is divisible by both: 546 ÷ 13 = 42, 546 ÷ 42 = 13 — and 42 and 13 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/13 by 42 and of y/42 by 13.
13 and 42 are coprime (GCF = 1), so their LCM is simply the product: 13 × 42 = 546.
13 — prime
42 = 2 × 3 × 7
| Prime | 13 | 42 | Highest power |
|---|---|---|---|
| 2 | — | 2 | 2 |
| 3 | — | 3 | 3 |
| 7 | — | 7 | 7 |
| 13 | 13 | — | 13 |
— = 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 × 13 = 546
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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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