LCM for 12 and 44
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What's the Least Common Multiple (LCM) of 12 and 44?
Answer
LCM of 12 and 44 is
132
First common multiples: 132, 264, 396, …
132 is divisible by both: 132 ÷ 12 = 11, 132 ÷ 44 = 3 — and 11 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/12 by 11 and of y/44 by 3.
12 = 22 × 3
44 = 22 × 11
| Prime | 12 | 44 | Highest power |
|---|---|---|---|
| 2 | 22 | 22 | 22 |
| 3 | 3 | — | 3 |
| 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 × 11 = 132
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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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