Question

Given that HCF (26,91) = 13, then find the LCM of (26,91).

Answer 1

First find the factors of 26 and 91 as

26 = 2x13

91 = 7x13

So HCF is 13 and LCM is 2x7x13 = 182.

The product of the two numbers is 26x91 = 2366 same as the product of the HCF and LCM.

LCM is 182.

Answer 2

Given

HCF (26,91) = 13

To find

LCM of (26,91).

Solution

The HCF of (26,91) = 13

We know,

LCM×HCF=product of the two numbers

LCM=product of the two numbers/HCF

      = 26×91/13

      = 182

LCM of (26,91) = 182

hint- LCM=Lowest common multiplier

       HCF= Highest common factor