Lcm 8 10 5Ce85D

1. The problem is to find the Least Common Multiple (LCM) of $8$ and $10$. 2. The LCM of two numbers is the smallest positive integer that is divisible by both numbers. 3. To find the LCM, we can use the prime factorization method: - Prime factors of $8$ are $2^3$. - Prime factors of $10$ are $2 \times 5$. 4. The LCM is found by taking the highest powers of all prime factors involved: $$\text{LCM}(8,10) = 2^3 \times 5 = 8 \times 5 = 40$$ 5. Checking the options given: - A: $6$, $8$ (LCM of $6$ and $8$ is $24$) - B: $4$, $10$ (LCM of $4$ and $10$ is $20$) - C: $5$, $8$ (LCM of $5$ and $8$ is $40$) - $8$, $20$ (LCM of $8$ and $20$ is $40$) 6. The pairs $5$, $8$ and $8$, $20$ both have LCM $40$, which matches the LCM of $8$ and $10$. Final answer: The same LCM as $8$ and $10$ is $40$, which corresponds to pairs C: $5$, $8$ and $8$, $20$.