What is the least common multiple (LCM)for 36 and 48?
A)288
B)144
C)192
D)576

Question

Quizplus · Accepted Answer

The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both. To find the LCM of 36 and 48, first factor each number into its prime factors: 36 = 2^2 * 3^2 and 48 = 2^4 * 3. The LCM is then calculated by taking the highest power of each prime that appears in the factorization of either number, which gives 2^4 * 3^2 = 16 * 9 = 144.

What Is the Least Common Multiple (LCM)for 36 and 48