Huff Norris
06/05/2024 · Junior High School

What is the least common multiple (LCM) of 4 and 6?

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To find the least common multiple (LCM) of 4 and 6, we can use the prime factorization method. 1. **Prime factorization**: - The prime factorization of 4 is \(2^2\). - The prime factorization of 6 is \(2^1 \times 3^1\). 2. **Identify the highest power of each prime**: - For the prime number 2, the highest power in the factorizations is \(2^2\) (from 4). - For the prime number 3, the highest power is \(3^1\) (from 6). 3. **Multiply these together**: \[ \text{LCM} = 2^2 \times 3^1 = 4 \times 3 = 12 \] Thus, the least common multiple of 4 and 6 is \( \boxed{12} \).

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The LCM of 4 and 6 is 12.
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