Barker Graham
07/10/2024 · Middle School
Find the least common multiple of 2 and 16.
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Step-by-step Solution
To find the least common multiple (LCM) of 2 and 16, we can use the method of prime factorization.
1. **Prime factorization**:
- The prime factorization of 2 is \(2^1\).
- The prime factorization of 16 is \(2^4\).
2. **Identify the highest power of each prime**:
- The only prime factor here is 2.
- The highest power of 2 from the factorizations is \(2^4\).
3. **Calculate the LCM**:
\[
\text{LCM} = 2^4 = 16
\]
Thus, the least common multiple of 2 and 16 is \(\boxed{16}\).
Quick Answer
The LCM of 2 and 16 is 16.
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