LCM for 24 and 27
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What's the Least Common Multiple (LCM) of 24 and 27?
Answer
LCM of 24 and 27 is
216
First common multiples: 216, 432, 648, …
216 is divisible by both: 216 ÷ 24 = 9, 216 ÷ 27 = 8 — and 9 and 8 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/24 by 9 and of y/27 by 8.
24 = 23 × 3
27 = 33
| Prime | 24 | 27 | Highest power |
|---|---|---|---|
| 2 | 23 | — | 23 |
| 3 | 3 | 33 | 33 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 23 × 33 = 216
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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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