Q7 of 104 Page 1

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

6 and 20

Given numbers are 6 and 20


The prime factorization of 6 and 20 gives:






Here, 21 is the smallest power of the common factor 2.


Therefore, the H.C.F of these two integers = 2


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


Now, L.C.M of 6 and 20 = 2 × 2 × 3 × 5 = 60


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