Find the least common multiple of 8 and 12. Type your answer in the box below

Answer 1

To find the least common multiple (LCM) of 8 and 12, we can follow a few steps:

1. Prime Factorization:

   • The prime factorization of 8 is \(2^3\).
   • The prime factorization of 12 is \(2^2 \times 3^1\).

2. Identify the Highest Powers:

   • For the prime number 2, the highest power in both factorizations is \(2^3\).
   • For the prime number 3, the highest power is \(3^1\).

3. Multiply the Highest Powers Together:

   • LCM = \(2^3 \times 3^1 = 8 \times 3 = 24\).

Thus, the least common multiple of 8 and 12 is 24.