To find the least common multiple (LCM) of 6 and 8, we can use the prime factorization method.
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Prime Factorization:
- The prime factorization of 6 is \(2^1 \times 3^1\).
- The prime factorization of 8 is \(2^3\).
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Identify the highest power of each prime:
- For the prime number 2, the highest power is \(2^3\).
- For the prime number 3, the highest power is \(3^1\).
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Multiply these together to find the LCM: \[ \text{LCM} = 2^3 \times 3^1 = 8 \times 3 = 24 \]
Thus, the least common multiple of 6 and 8 is 24.
None of the answer choices provided (A: 1818, B: 2424, C: 2727, D: 3232) are correct. The correct answer is 24, which does not appear among the options.