LCM for 4 and 33
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What's the Least Common Multiple (LCM) of 4 and 33?
Answer
LCM of 4 and 33 is
132
First common multiples: 132, 264, 396, …
132 is divisible by both: 132 ÷ 4 = 33, 132 ÷ 33 = 4 — and 33 and 4 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/4 by 33 and of y/33 by 4.
4 and 33 are coprime (GCF = 1), so their LCM is simply the product: 4 × 33 = 132.
4 = 22
33 = 3 × 11
| Prime | 4 | 33 | Highest power |
|---|---|---|---|
| 2 | 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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