Q7 of 104 Page 1

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

26 and 91

Given numbers are 26 and 91.


The prime factorization of 26 and 91 gives:






Here, 131 is the smallest power of the common factor 13.


Therefore, the H.C.F of these two integers = 13


21 × 71 × 131 are the greatest powers of the prime factors 2, 7 and 13 respectively involved in the given numbers.


Now, L.C.M of 6 and 21 is 2 × 7 × 13 = 182


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