Q. 9 C4.6( 5 Votes )

# 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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