Which two numbers have a least common multiple of 60? A. 12 and 15 B. 6 and 10 C. 6 and 15 D. 6 and 12

The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both numbers.

Let's find the LCM for each pair of numbers:

A. The LCM of 12 and 15: The multiples of 12 are: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, ... The multiples of 15 are: 15, 30, 45, 60, 75, 90, 105, 120, ... The LCM of 12 and 15 is 60.

B. The LCM of 6 and 10: The multiples of 6 are: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ... The multiples of 10 are: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, ... The LCM of 6 and 10 is 30.

C. The LCM of 6 and 15: The multiples of 6 are: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ... The multiples of 15 are: 15, 30, 45, 60, 75, 90, 105, 120, ... The LCM of 6 and 15 is 30.

D. The LCM of 6 and 12: The multiples of 6 are: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ... The multiples of 12 are: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, ... The LCM of 6 and 12 is 12.

So, the pair of numbers that have a least common multiple of 60 is 12 and 15 (Option A).