How to find the least common multiple of two numbers?

The least common multiple of two numbers is the smallest non-zero common number which is a multiple of both the numbers. We can find the LCM by using the prime factorization and the common division method.

Answer: List the first few multiples of each number and look for the multiples that are common to both the lists. Then, look for the smallest number that is common in them.

Let us find the least common multiple of two numbers.

Explanation:

Example 1: Find the LCM of 15 and 25 by the prime factorization method. Let us list the prime factors of 15 and 25.

15 =  5 × 3

25 = 5 × 5

LCM = 5 × 5 × 3 = 75

Therefore, the LCM of 15 and 25 is 75.

Example 2: Find the LCM of 15 and 25 by the Common Division Method.

LCM of 15 and 25

LCM of 15 and 25 is 3 × 5 × 5 = 75.

Therefore, the LCM of 15 and 25 is 75.