Question

b) Consider any two prime numbers and check whether the product of their
HCF and LCM is equal to the product of the numbers
​

Answer 1

Answer:

Let the two prime numbers be 3 and 5.

Multiples of 3 and 5 are as follows

3 ... 3, 6, 9, 12, 15, 18,....

5 ... 5, 10, 15, 20, ....

LCM(3, 5) = 15

Since 3 and 5 are prime numbers.

HCF(3, 5) = 1

LCM(3, 5) × HCF(3, 5) = 15 × 1 = 15 ... (ii)

3 × 5 = 15 ...(iii)

From (ii) and (iii), we can say that

The product of any two prime number is equal to the product of their HCF and LCM.