LCM for 40 and 47
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What's the Least Common Multiple (LCM) of 40 and 47?
Answer
LCM of 40 and 47 is
1,880
First common multiples: 1,880; 3,760; 5,640; …
1,880 is divisible by both: 1,880 ÷ 40 = 47; 1,880 ÷ 47 = 40 — and 47 and 40 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/40 by 47 and of y/47 by 40.
40 and 47 are coprime (GCF = 1), so their LCM is simply the product: 40 × 47 = 1,880.
40 = 23 × 5
47 — prime
| Prime | 40 | 47 | Highest power |
|---|---|---|---|
| 2 | 23 | — | 23 |
| 5 | 5 | — | 5 |
| 47 | — | 47 | 47 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 23 × 5 × 47 = 1,880
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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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