What is the least common multiple of these two denominators 3/6, 2/12

1 answer

To find the least common multiple of the two denominators 6 and 12, we first need to find the prime factorization of each number.

The prime factorization of 6 is 2 x 3.
The prime factorization of 12 is 2^2 x 3.

To find the least common multiple, we need to take the highest power of each prime factor that appears in either number. The prime factors 2 and 3 appear in both denominators, so we take the highest power of each.

2^2 x 3 = 12

Therefore, the least common multiple of the denominators 3/6 and 2/12 is 12.