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 = 2 × 13

91 = 7 × 13 

L.C.M of 26 and 91 = 2 × 7 × 13

L.C.M of 26 and 91 = 182

H.C.F of 26 and 91 = 13

We know that,

Now, LCM × HCF = First number × Second number

⇒ 182 × 13 = 26 × 91

⇒ 2366 = 2366

i.e., LCM × HCF = Product of two numbers.