Q. 104.6( 61 Votes )

Find the LCM of the following numbers:

(a) 9 and 4 (b) 12 and 5

(c) 6 and 5 (d) 15 and 4

Observe a common property in the obtained LCMs. Is LCM the product of two numbers in each case?

Answer :

LCM – Least common multiple


The LCM of two numbers is the smallest number that is a multiple of both the numbers.


(a) 9 and 4



LCM = 2 × 2 × 3 × 3 = 36


(b) 12 and 5



LCM = 2 × 2 × 3 × 5 = 60


(c) 6 and 5



LCM = 2 × 3 × 5 = 30


(d) 15 and 4



LCM = 2 × 2 × 3 × 5 = 60


Yes, it can be seen that in each case, LCM of given numbers is the product of thses numbers. When two numbers are co-prime, their LCM is the product of those numbers. Also, in each case, LCM is a multiple of 3.


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