The product of two co-prime numbers is 119. Their LCM should be:

Correct option is A

​Given:

​The product of two co-prime numbers is 119

Concept Used:

For any two numbers a and b, the following relation holds:

LCM (a,b) × GCD (a,b) = a x b  

Where:

LCM(a,b) is the Least Common Multiple of a and b,

GCD(a,b) is the Greatest Common Divisor of a and b.

Solution:​

Since the two numbers are co-prime, their Greatest Common Divisor (GCD) is 1. Therefore, the formula simplifies to:

​$$\text{LCM}(a,b) = \frac{a \times b}{\text{GCD}(a,b)}$$ 

​$$\text{LCM}(a,b) = \frac{a \times b}{1}$$ 

​$$\text{LCM}(a,b) = a×b$$ 

We are told that the product of the two co-prime numbers is 119. So, let: 

a × b  = 119

Thus, the LCM of a and b is:

LCM(a,b) = 119