LCM for 33 and 46
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What's the Least Common Multiple (LCM) of 33 and 46?
Answer
LCM of 33 and 46 is
1,518
First common multiples: 1,518; 3,036; 4,554; …
1,518 is divisible by both: 1,518 ÷ 33 = 46; 1,518 ÷ 46 = 33 — and 46 and 33 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/33 by 46 and of y/46 by 33.
33 and 46 are coprime (GCF = 1), so their LCM is simply the product: 33 × 46 = 1,518.
33 = 3 × 11
46 = 2 × 23
| Prime | 33 | 46 | Highest power |
|---|---|---|---|
| 2 | — | 2 | 2 |
| 3 | 3 | — | 3 |
| 11 | 11 | — | 11 |
| 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 = 2 × 3 × 11 × 23 = 1,518
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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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