LCM for 35 and 40
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What's the Least Common Multiple (LCM) of 35 and 40?
Answer
LCM of 35 and 40 is
280
First common multiples: 280, 560, 840, …
280 is divisible by both: 280 ÷ 35 = 8, 280 ÷ 40 = 7 — and 8 and 7 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/35 by 8 and of y/40 by 7.
35 = 5 × 7
40 = 23 × 5
| Prime | 35 | 40 | Highest power |
|---|---|---|---|
| 2 | — | 23 | 23 |
| 5 | 5 | 5 | 5 |
| 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 = 23 × 5 × 7 = 280
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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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