LCM for 9 and 40
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What's the Least Common Multiple (LCM) of 9 and 40?
Answer
LCM of 9 and 40 is
360
First common multiples: 360; 720; 1,080; …
360 is divisible by both: 360 ÷ 9 = 40, 360 ÷ 40 = 9 — and 40 and 9 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/9 by 40 and of y/40 by 9.
9 and 40 are coprime (GCF = 1), so their LCM is simply the product: 9 × 40 = 360.
9 = 32
40 = 23 × 5
| Prime | 9 | 40 | Highest power |
|---|---|---|---|
| 2 | — | 23 | 23 |
| 3 | 32 | — | 32 |
| 5 | — | 5 | 5 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 23 × 32 × 5 = 360
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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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