Find the LCM of Denominators: Calculating LCM(7,5)

Question

You have a pair of denominators, what is their least common multiple?

7   5 \boxed 7~~~\boxed 5

Step-by-Step Solution

To determine the least common multiple (LCM) of 77 and 55, we list the multiples of each number.

Multiples of 77: 7,14,21,28,35,7, 14, 21, 28, 35, \ldots

Multiples of 55: 5,10,15,20,25,30,35,5, 10, 15, 20, 25, 30, 35, \ldots

The smallest common multiple is 3535.

Answer

35