The HCF of two numbers is 23 and the other factors of their LCM are 13 and 14. The larger of the two numbers is = ?

Explanation:-

HCF of numbers = 23
∴ Let the numbers are 23x and 23y
∴ LCM = 23xy
⇒ Now given that factor of LCM are 13, 14
∴ LCM = 23 × 13 × 14
⇒ Numbers are = 23 × 13 and 23 × 14
= 299 and 322
larger = 322