LCM for 42 and 65
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What's the Least Common Multiple (LCM) of 42 and 65?
Answer
LCM of 42 and 65 is
2,730
First common multiples: 2,730; 5,460; 8,190; …
2,730 is divisible by both: 2,730 ÷ 42 = 65; 2,730 ÷ 65 = 42 — and 65 and 42 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/42 by 65 and of y/65 by 42.
42 and 65 are coprime (GCF = 1), so their LCM is simply the product: 42 × 65 = 2,730.
42 = 2 × 3 × 7
65 = 5 × 13
| Prime | 42 | 65 | Highest power |
|---|---|---|---|
| 2 | 2 | — | 2 |
| 3 | 3 | — | 3 |
| 5 | — | 5 | 5 |
| 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 × 5 × 7 × 13 = 2,730
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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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