HCF and LCM

The HCF of two numbers is 23, and two of the factors of LCM are 13 and 14. Find the greater of the two numbers.


23 // a    ,      b
       13   ,    14

Since HCF of  23 is a prime number, the other factors of LCM is 23 itself. Therefore the greater of the two numbers is = 14 x 23 = 322