Question

If the product of two co prime number is 2021 then find the lcm

Answer 1

Answer:

Step-by-step explanation:

Obviously if the 2 no.s are co prime then the LCM is their product, 2021

Answer 2

The LCM of the two numbers is equal to 2021.

Solution: Co-prime numbers are the numbers whose highest common factor ( HCF) is 1. They may or may not be prime numbers.

For example- (5,7) is a pair of co-prime numbers. Their HCF is 1 and they both are prime numbers.

(4,9) is another pair of co-prime numbers. Their HCF is 1 but neither of them is a prime number.

Now, in the question,

HCF of co-prime numbers= 1

Product of the numbers= 2021

The relationship between HCF, LCM and product of two numbers is given by:

HCF × LCM = Product of the numbers

=> 1 × LCM = 2021

=> LCM = 2021

Therefore, in case of two co-prime numbers, the LCM is equal to the product of the numbers.