Question

The HCF of two numbers a and b is 5 and their LCM is 200. Find the product ab.

Answer 1

Given: HCF(a, b) = 5, LCM(a, b) = 200.

Step-wise calculation:

1. For two integers, 

HCF × LCM = product of the numbers

i.e. gcd(a, b) × lcm(a, b) = a × b

2. Therefore, a × b = 5 × 200 

= 1000