Find the least common multiple of the numbers below. 114 and 138
A) 6
B) 19
C) 2,622
D) 437
E) none of these

Question

Quizplus · Accepted Answer

To find the least common multiple, we first need to find the prime factorization of each number.

114 = 2 x 3 x 19 
138 = 2 x 3 x 23

Then, we take the highest power of each prime factor:

2^1 x 3^1 x 19^1 x 23^1 = 2,622

Therefore, the least common multiple of 114 and 138 is 2,622, which is choice C.

Find the Least Common Multiple of the Numbers Below