Question:
What is the least common multiple (LCM) of 12 and 15?
What is the least common multiple (LCM) of 12 and 15?
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To find the LCM, take the highest power of each prime factor and multiply them.
Updated On: Oct 6, 2025
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Solution and Explanation
First, find the prime factorizations of 12 and 15:
\[
12 = 2^2 \times 3,
15 = 3 \times 5 \] The LCM is the product of the highest powers of all prime factors: \[ \text{LCM} = 2^2 \times 3 \times 5 = 60 \]
15 = 3 \times 5 \] The LCM is the product of the highest powers of all prime factors: \[ \text{LCM} = 2^2 \times 3 \times 5 = 60 \]
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