LCM for 66 and 84
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What's the Least Common Multiple (LCM) of 66 and 84?
Answer
LCM of 66 and 84 is
924
First common multiples: 924; 1,848; 2,772; …
924 is divisible by both: 924 ÷ 66 = 14, 924 ÷ 84 = 11 — and 14 and 11 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/66 by 14 and of y/84 by 11.
66 = 2 × 3 × 11
84 = 22 × 3 × 7
| Prime | 66 | 84 | Highest power |
|---|---|---|---|
| 2 | 2 | 22 | 22 |
| 3 | 3 | 3 | 3 |
| 7 | — | 7 | 7 |
| 11 | 11 | — | 11 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 3 × 7 × 11 = 924
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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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