Question

Find the LCM and HCF of the integers 87 and 145 by applying the prime factorization method.

Answer 1

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