What is the lcm of 16 and 24?

The least common multiple (LCM) of 16 and 24 is the smallest number that both 16 and 24 can evenly divide into.

To find the LCM of 16 and 24, we can first list the multiples of each number: Multiples of 16: 16, 32, 48, 64, 80, 96, ... Multiples of 24: 24, 48, 72, 96, ...

From the list, we can see that the LCM of 16 and 24 is 48. Therefore, the LCM of 16 and 24 is 48.

Another way to find the LCM is to use prime factorization method. First, factorize 16 and 24: 16 = 2^4 24 = 2^3 x 3

Now, find the highest power of each prime factor occurring in the factorization of the numbers: Highest power of 2 = 4 Highest power of 3 = 1

Therefore, the LCM of 16 and 24 is 2^4 x 3^1 = 48.