Find the LCM of 6 and 8.
Responses
A 66
B 88
C 24
D 48
The correct answer is D) 48.
To find the least common multiple (LCM) of 6 and 8, we want to find the smallest number that both 6 and 8 divide into evenly.
The prime factorization of 6 is 2 * 3.
The prime factorization of 8 is 2 * 2 * 2.
To find the LCM, we need to take the highest exponent for each prime factor. In this case, the highest exponent for the prime factor 2 is 3 and for the prime factor 3 is 1.
So, the LCM of 6 and 8 is 2 * 2 * 2 * 3 = 8 * 3 = 24.
Therefore, the correct answer is C) 24.