LCM for 46 and 52
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What's the Least Common Multiple (LCM) of 46 and 52?
Answer
LCM of 46 and 52 is
1,196
First common multiples: 1,196; 2,392; 3,588; …
1,196 is divisible by both: 1,196 ÷ 46 = 26; 1,196 ÷ 52 = 23 — and 26 and 23 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/46 by 26 and of y/52 by 23.
46 = 2 × 23
52 = 22 × 13
| Prime | 46 | 52 | Highest power |
|---|---|---|---|
| 2 | 2 | 22 | 22 |
| 13 | — | 13 | 13 |
| 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 = 22 × 13 × 23 = 1,196
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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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