If K1 and K2 are two distinct prime numbers, then what is the product of the highest common factor and the least common multiple of K1 and K2?

As we know that the product of two distinct prime numbers is equal to the product of HCF(highest common factor) and LCM(least common multiple) of those numbers.

So $$HCF\times\ LCM\ =\ K1\times\ K2$$    Eq.(i)

So the product of the highest common factor and the least common multiple of K1 and K2 = $$K1\times\ K2$$

By example

We can understand this by assuming the values of K1 and K2.

So K1 = 2

K2 = 3

So the HCF and LCM of K1 and K2 are 1 and 6.

Now we can put these in Eq.(i).

$$1\times\ 6\ =\ 2\times\ 3$$

6 = 6

The given equation is satisfied.