LCM for 36 and 24
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 36 and 24?
Answer
LCM of 36 and 24 is
72
First common multiples: 72, 144, 216, …
72 is divisible by both: 72 ÷ 36 = 2, 72 ÷ 24 = 3 — and 2 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/36 by 2 and of y/24 by 3.
36 = 22 × 32
24 = 23 × 3
| Prime | 36 | 24 | Highest power |
|---|---|---|---|
| 2 | 22 | 23 | 23 |
| 3 | 32 | 3 | 32 |
LCM = 23 × 32 = 72
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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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