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

[A]276

[B]299

[C]322

[D]345

**322**

Let the numbers be 23x and 23y where x and y are co-prime to each other.

∴ LCM = 23xy

As given,

23xy = 23 13 14

∴ x = 13, y = 14

∴ The larger number = 23y = 23 14 = 322

Hence option [C] is correct answer.