Q9 of 104 Page 1

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

12, 15, and 21

Given numbers are 12, 15 and 21


Factorization of 12, 15 and 21




Here, 31 is the smallest power of the common factor 3.


So, HCF (12, 15, 21) = 3


22 × 31 × 51 × 71 are the greatest powers of the prime factors 2, 3, 5 and 7 respectively involved in the given three numbers .


LCM of these three integers = 2 × 2 × 3 × 5 × 7 = 420


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