LCM for 47 and 66
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What's the Least Common Multiple (LCM) of 47 and 66?
Answer
LCM of 47 and 66 is
3,102
First common multiples: 3,102; 6,204; 9,306; …
3,102 is divisible by both: 3,102 ÷ 47 = 66; 3,102 ÷ 66 = 47 — and 66 and 47 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/47 by 66 and of y/66 by 47.
47 and 66 are coprime (GCF = 1), so their LCM is simply the product: 47 × 66 = 3,102.
47 — prime
66 = 2 × 3 × 11
| Prime | 47 | 66 | Highest power |
|---|---|---|---|
| 2 | — | 2 | 2 |
| 3 | — | 3 | 3 |
| 11 | — | 11 | 11 |
| 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 = 2 × 3 × 11 × 47 = 3,102
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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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