LCM for 4 and 3
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What's the Least Common Multiple (LCM) of 4 and 3?
Answer
LCM of 4 and 3 is
12
First common multiples: 12, 24, 36, …
12 is divisible by both: 12 ÷ 4 = 3, 12 ÷ 3 = 4 — and 3 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 3 and of y/3 by 4.
4 and 3 are coprime (GCF = 1), so their LCM is simply the product: 4 × 3 = 12.
4 = 22
3 — prime
| Prime | 4 | 3 | Highest power |
|---|---|---|---|
| 2 | 22 | — | 22 |
| 3 | — | 3 | 3 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 3 = 12
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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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