 Hello and welcome to this session. Let us understand the following question today. Find the LCM and HCF of the fallen pairs of integers and verify that LCM multiplied by HCF is equal to product of the two numbers we have 26 and 91. Before starting with the solution let's understand what is HCF and HCM. HCF is equal to product of the smallest part of each common prime factor in the number. Now let's see what is LCM. LCM is equal to the product of the greatest part of each prime factor involved in the numbers. This is the key idea behind our question. Now let's start with the solution. Given to us is two numbers 26 and 91. Here 26 can be written as 2 multiplied by 13 and 91 can be written as 7 multiplied by 13. Therefore, by key idea HCF is equal to 13 and LCM is equal to 2 multiplied by 7 multiplied by 13 which is equal to 182. Now let's verify. We have to verify that LCM into HCF is equal to product of two numbers. Now let us consider the left hand side. LCM multiplied by HCF equal to LCM is 182. So 182 multiplied by 13 is equal to 2366. Now let us consider right hand side. Product of the given two numbers is equal to 26 multiplied by 91 which is equal to 2366. Therefore, LHS is equal to RHS hence verified. Therefore, the required answer is HCF is equal to 13 and LCM is equal to 182. I hope you understood this question. Bye and have a nice day.