LCM for 14 and 9
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What's the Least Common Multiple (LCM) of 14 and 9?
Answer
LCM of 14 and 9 is
126
First common multiples: 126, 252, 378, …
126 is divisible by both: 126 ÷ 14 = 9, 126 ÷ 9 = 14 — and 9 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 9 and of y/9 by 14.
14 and 9 are coprime (GCF = 1), so their LCM is simply the product: 14 × 9 = 126.
14 = 2 × 7
9 = 32
| Prime | 14 | 9 | Highest power |
|---|---|---|---|
| 2 | 2 | — | 2 |
| 3 | — | 32 | 32 |
| 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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