Q9 of 104 Page 1

Find LCM and HCF of the following integers by using prime factorization method:

36, 45, and 72

Given numbers are 36, 45 and 72


Factorization of 36, 45 and 72




Here, 32 is the smallest power of the common factor 3.


So, HCF (36, 45, 72) = 3 × 3 = 9


23 × 32 × 51 are the greatest powers of the prime factors 2, 3 and 5 respectively involved in the given three numbers .


LCM of these three integers = 2 × 2 × 2 × 3 × 3 × 5 = 360


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