Question

Relationship between LCM and GCD​

Answer 1

Step-by-step explanation:

Let us consider two numbers 12 and 18.

We observe that, LCM (12, 18) = 36, GCD (12, 18) = 6 .

Now, LCM (12,18) × GCD(12,18) = 36 ×6 = 216 = 12 ×18

Thus LCM × GCD is equal to the product of two given numbers.

Similarly, the product of two polynomials is the product of their LCM and GCD,

That is, f (x) × g (x) = LCM [ f (x ), g(x )] ×GCD[ f (x), g (x)]