LCM for 42 and 63
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What's the Least Common Multiple (LCM) of 42 and 63?
Answer
LCM of 42 and 63 is
126
First common multiples: 126, 252, 378, …
126 is divisible by both: 126 ÷ 42 = 3, 126 ÷ 63 = 2 — and 3 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/42 by 3 and of y/63 by 2.
42 = 2 × 3 × 7
63 = 32 × 7
| Prime | 42 | 63 | Highest power |
|---|---|---|---|
| 2 | 2 | — | 2 |
| 3 | 3 | 32 | 32 |
| 7 | 7 | 7 | 7 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 32 × 7 = 126
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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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