Answer:
14
Explanation:
The denominator of 6/7 is 7.
The denominator of 3/2 is 2.
The least common denominator (LCD) of 2 and 7 can be found using prime factorization.
2 = 2¹
7 = 7¹
LCD = 2¹ × 7¹ = 14
Another example: if the denominators were 4 and 6:
4 = 2²
6 = 2¹ × 3¹
LCD = 2² × 3¹ = 12
The least common denominator (or the least common multiple) is the product of each prime number raised to its highest power.