Question

Find the LCM and HCF of the integers 26 and 91 by applying the prime factorization method.

Answer 1

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