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Answer :
Final answer:
The correct way to use prime factorization to find the least common multiple (LCM) of 8 and 6 is through option a which gives an LCM of 24.
Explanation:
The correct way to use prime factorization to find the least common multiple (LCM) of 8 and 6 is option a). To explain this step by step:
- First, we find the prime factorization of each number. For 6, this is 2x3. For 8, it's 2x2x2.
- Second, we take the highest power of each prime number that appears in either factorization. In this case, the highest power of 2 is 2x2x2 (from the prime factorization of 8) and the highest power of 3 is 3 (from the prime factorization of 6).
- Finally, we multiply together these highest powers to get the LCM. So, in this case, the LCM is 2x2x2x3, which equals 24.
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