LCM for 8 and 9
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What's the Least Common Multiple (LCM) of 8 and 9?
Answer
LCM of 8 and 9 is
72
First common multiples: 72, 144, 216, …
72 is divisible by both: 72 ÷ 8 = 9, 72 ÷ 9 = 8 — and 9 and 8 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/8 by 9 and of y/9 by 8.
8 and 9 are coprime (GCF = 1), so their LCM is simply the product: 8 × 9 = 72.
8 = 23
9 = 32
| Prime | 8 | 9 | Highest power |
|---|---|---|---|
| 2 | 23 | — | 23 |
| 3 | — | 32 | 32 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 23 × 32 = 72
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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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