1. The problem is to find the least common multiple (LCM) of 8 and 4. 2. The LCM of two numbers is the smallest positive integer that is divisible by both numbers. 3. One way to find the LCM is to list the multiples of each number: - Multiples of 8: 8, 16, 24, 32, ... - Multiples of 4: 4, 8, 12, 16, 20, ... 4. The smallest common multiple in both lists is 8. 5. Another method is to use the formula: $$\text{LCM}(a,b) = \frac{|a \times b|}{\text{GCD}(a,b)}$$ where GCD is the greatest common divisor. 6. Calculate the GCD of 8 and 4: - Factors of 8: 1, 2, 4, 8 - Factors of 4: 1, 2, 4 - Greatest common factor is 4. 7. Substitute into the formula: $$\text{LCM}(8,4) = \frac{8 \times 4}{4} = \frac{32}{4} = 8$$ 8. Therefore, the LCM of 8 and 4 is 8.