34 , 51

The LCM is the smallest positive number that all of the numbers divide into evenly.

1. List the prime factors of each number.

2. Multiply each factor the greatest number of times it occurs in either number.

34 has factors of 2 and 17.

2⋅17

51 has factors of 3 and 17.

3⋅17

The LCM of 34,51 is the result of multiplying all prime factors the greatest number of times they occur in either number.

2⋅3⋅17

Multiply 2 by 3.

6⋅17

Multiply 6 by 17.

102

102

Find the LCM 34 , 51