LCM for 24 and 46
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What's the Least Common Multiple (LCM) of 24 and 46?
Answer
LCM of 24 and 46 is
552
First common multiples: 552; 1,104; 1,656; …
552 is divisible by both: 552 ÷ 24 = 23, 552 ÷ 46 = 12 — and 23 and 12 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/24 by 23 and of y/46 by 12.
24 = 23 × 3
46 = 2 × 23
| Prime | 24 | 46 | Highest power |
|---|---|---|---|
| 2 | 23 | 2 | 23 |
| 3 | 3 | — | 3 |
| 23 | — | 23 | 23 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 23 × 3 × 23 = 552
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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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