LCM for 23 and 42
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What's the Least Common Multiple (LCM) of 23 and 42?
Answer
LCM of 23 and 42 is
966
First common multiples: 966; 1,932; 2,898; …
966 is divisible by both: 966 ÷ 23 = 42, 966 ÷ 42 = 23 — and 42 and 23 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/23 by 42 and of y/42 by 23.
23 and 42 are coprime (GCF = 1), so their LCM is simply the product: 23 × 42 = 966.
23 — prime
42 = 2 × 3 × 7
| Prime | 23 | 42 | Highest power |
|---|---|---|---|
| 2 | — | 2 | 2 |
| 3 | — | 3 | 3 |
| 7 | — | 7 | 7 |
| 23 | 23 | — | 23 |
— = 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 × 23 = 966
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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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