LCM for 14 and 23
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What's the Least Common Multiple (LCM) of 14 and 23?
Answer
LCM of 14 and 23 is
322
First common multiples: 322, 644, 966, …
322 is divisible by both: 322 ÷ 14 = 23, 322 ÷ 23 = 14 — and 23 and 14 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/14 by 23 and of y/23 by 14.
14 and 23 are coprime (GCF = 1), so their LCM is simply the product: 14 × 23 = 322.
14 = 2 × 7
23 — prime
| Prime | 14 | 23 | Highest power |
|---|---|---|---|
| 2 | 2 | — | 2 |
| 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 × 7 × 23 = 322
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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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