Mills Rogers
11/01/2023 · High School
Find the least common multiple of 15 and 5.
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To find the least common multiple (LCM) of 15 and 5, we can use the prime factorization method.
1. **Prime factorization**:
- The prime factorization of 15 is \(3 \times 5\).
- The prime factorization of 5 is \(5\).
2. **Identify the highest powers of all prime factors**:
- The prime factors involved are 3 and 5.
- The highest power of 3 is \(3^1\) (from 15).
- The highest power of 5 is \(5^1\) (from both 15 and 5).
3. **Calculate the LCM**:
\[
\text{LCM} = 3^1 \times 5^1 = 3 \times 5 = 15
\]
Thus, the least common multiple of 15 and 5 is \( \boxed{15} \).
Quick Answer
The LCM of 15 and 5 is 15.
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