Question

What is the least common denominator of 11/12 and 9/8

Answer 1

What is the least common denominator of 11 12 and 7 8?

LCM of 7, 8, 11, and 12 by Prime Factorization

Prime factorization of 7, 8, 11, and 12 is (7) = 71, (2 × 2 × 2) = 23, (11) = 111, and (2 × 2 × 3) = 22 × 31 respectively. LCM of 7, 8, 11, and 12 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 23 × 31 × 71 × 111 = 1848.

Answer 2

The answer is 24, since you cannot simplify 11/12, self-add the denominators until they reach the first common number.
8x3 = 24
12x2 = 24.
Hope this helps.