LCM-LEAST COMMON MULTIPLE

Definition of L.C.M

LCM of two or more non zero whole numbers is the smallest whole number which is a multiple of each given number. In other words it must be the smallest whole number which is divisible by each number.

We can use few different methods to find L.C.M of a numbers 

(i) Prime factorization method

(ii) Grid or ladder method

(iii) Using Euclid’s Algorithm

(iv) Using venn diagram

Prime factorization method

To find L.C.M of given numbers using prime factorization method,first we have to split the numbers separately using tables until we get prime numbers.

Example 1:

Find L.C.M of 36 and 12

Solution:

List out the factors of 36 and 12

    36 = 2 x 2 x 3 x 3

    12 = 2 x 2 x 3