Least Common Multiple of 8

In mathematics, the least common multiple of two rational numbers a and b is the smallest positive rational number that is an integer multiple of both a and b. Since it is a multiple, it can be divided by a and b without a remainder. (Source: From Wikipedia).

Least common multiple of two numbers can be found by their multiples. Here we are going to learn how to find the least common multiple of two or more numbers.

Example problems to find the least common multiple of two numbers

Here we will see some example problems to find the least common multiple of two numbers.
Example 1
Find the least common multiple of 6 and 8
Solution
The least common multiple of 6 and 8 can be found by finding the multiples 6 and 8.
The list of multiples of 6 and 8 are given below
The multiples of 6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 72, 78, 84.
The multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80.
Here 24 is the lowest common number. So, 24 is the lowest common multiple of 6 and 8.
Example 2
Find the least common multiple of 5 and 8
Solution
The least common multiple of 5 and 8 can be found by finding the multiples 5 and 8.
The list of multiples of 5 and 8 are given below
The multiples of 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60.
The multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80.

Here 40 is the lowest common number. So, 40 is the lowest common multiple of 5 and 8.
Example 3
Find the least common multiple of 7 and 8
Solution
The least common multiple of 7 and 8 can be found by finding the multiples 7 and 8.
The list of multiples of 7 and 8 are given below
The multiples of 7 = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105.
The multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80.
Here 56 is the lowest common number. So, 56 is the lowest common multiple of 7 and 8.
Example 4
Find the least common multiple of 11 and 8
Solution
The least common multiple of 11 and 8 can be found by finding the multiples 11 and 8.
The list of multiples of 11 and 8 are given below
The multiples of 11 = 11, 22, 33, 44, 55, 66, 77, 88 , 99, 110
The multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88.
Here 88 is the lowest common number. So, 88 is the lowest common multiple of 11 and 8.

Practice problems to find the least common multiple of two numbers

Practice problem 1

Find the least common multiple of 10 and 8
Answer: The least common multiple of 10 and 8 is 40
Practice problem 2
Find the least common multiple of 12 and 8
Answer: The least common multiple of 12 and 8 is 24
Practice problem 3
Find the least common multiple of 15 and 8
Answer: The least common multiple of 15 and 8 is 120