Question

Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = product of the two numbers

26 and 91

Answer 1

26 and 91

26 = 2 x 13  x 1 (Expressing as product f prime factors)

91 = 7 x 13 x 1 (Expressing as product of prime factors)

Therfore HCF of 26 and 91 = 13 x 1 = 13

And LCM of 26 and 91 = 2 x 7 x 13 x 1 = 182.

Verification:

LCM x HCF = 13 x 182 = 2366

Product of 26 x 91 = 2366

Therefore it is proved that LCM x HCF = Product of the two numbers.