Q. 7 D5.0( 2 Votes )

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

87 and 145

Answer :

Given numbers are 87 and 145.


The prime factorization of 87 and 145 gives:






Here, 291 is the smallest power of the common factor 29.


Therefore, the H.C.F of these two integers = 29


31 × 51 × 291 are the greatest powers of the prime factors 3, 5 and 29 respectively involved in the given numbers.


Now, L.C.M of 87 and 145 = 3 × 5 × 29 = 435


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