Q. 7 G4.0( 2 Votes )

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

6 and 21

Answer :

Given numbers are 6 and 21.


The prime factorization of 6 and 21 gives:






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


Therefore, the H.C.F of these two integers = 3


21 × 31 × 71 are the greatest powers of the prime factors 2, 3 and 7 respectively involved in the given numbers.


Now, L.C.M of 6 and 21 is 2 ×3 × 7 = 42


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