what is the least common multiple of 8 and 3?

what is the least common multiple of 8 and 3?

Answer

# Explanation: ## Step1: Prime - factorize the numbers $8 = 2\times2\times2$, $3=3$ ## Step2: Determine LCM LCM is the product of the highest - power prime factors. Here, the prime factors are 2 and 3. The highest power of 2 is $2^3$ and of 3 is $3^1$. So, $LCM(8,3)=2^3\times3^1$. $2^3\times3^1=8\times3 = 24$ # Answer: 24