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The task is to find the least common multiple (LCM) of 6 and 8.

### Step-by-step solution:

1. **Prime Factorization**:
   - Prime factorization of 6: \( 6 = 2 \times 3 \)
   - Prime factorization of 8: \( 8 = 2^3 \)

2. **LCM Calculation**:
   - The LCM is found by taking the highest power of each prime factor present in any of the numbers.
   - From 6 and 8, the prime factors are \( 2 \) and \( 3 \).
     - The highest power of 2 is \( 2^3 \) (from 8).
     - The highest power of 3 is \( 3^1 \) (from 6).

3. **Multiplying these factors**:
   \[
   LCM(6, 8) = 2^3 \times 3 = 8 \times 3 = 24
   \]

### Therefore, the LCM of 6 and 8 is **24**.

Would you like more details or further clarification?

Here are 5 related questions for practice:
1. What is the LCM of 12 and 15?
2. Find the LCM of 9 and 12 using prime factorization.
3. How is LCM related to the greatest common divisor (GCD)?
4. What is the LCM of three numbers: 4, 6, and 8?
5. Can you find the LCM of 5 and 10?

**Tip**: To quickly find the LCM, use the prime factorization of each number and pick the highest power of each prime factor.

Discover how to find the Least Common Multiple (LCM) of 6 and 8 using prime factorization. A step-by-step guide explains the method, suitable for Grades 5-7, covering key concepts of LCM and prime factorization.

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