Question

Find the LCM and HCF of the integers 1485 and 4356 by applying the prime factorization method.

Answer 1

Given numbers are 1485 and 4356.

The prime factorization of 1485 and 4356 gives:

Here, 3²× 11 is the smallest power of the common factors 3 and 11.

Therefore, the H.C.F of these two integers = 3 × 3 × 11 = 99

2² × 3³× 5¹ × 11² are the greatest powers of the prime factors 2, 3 and 7 respectively involved in the given numbers.

Now, L.C.M of 1485 and 4356 = 2 × 2 × 3 × 3 × 3 × 5 × 11 × 11 = 65430