The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:
Clearly, the numbers are $\left(23 \times 13\right)$ and $\left(23 \times 14\right)$.
$\therefore$ Larger number = $\left(23 \times 14\right)$ = 322.
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