Q. 7 A4.2( 11 Votes )

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

96 and 404

Answer :

Given numbers are 96 and 404.


The prime factorization of 96 and 404 gives:






Here, 22 is the smallest power of the common factor 2.


Therefore, the H.C.F of these two integers is 2 × 2 = 4


25 × 31 × 1011 are the greatest powers of the prime factors 2, 3 and 101 respectively involved in the given numbers.


Now, L.C.M of 96 and 404 is 2 × 2 × 2 × 2 × 2 × 3 × 101 = 9696


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