What is the lcm of 10 and 8?

The least common multiple (LCM) of 10 and 8 is the smallest number that is a multiple of both 10 and 8. To find the LCM, we need to find the least common multiple of the prime factors of 10 and 8.

Prime factorization of 10: 10 = 2 * 5

Prime factorization of 8: 8 = 2^3

To find the LCM, we take the highest power of each prime factor that appears in either number: LCM(10, 8) = 2^3 * 5 = 40

Therefore, the LCM of 10 and 8 is 40.