Question 1161633
{{{14*23=highlight(322)}}} ,
assuming that by "the other two factors" they mean the factors of each of the two numbers that are factors in the LCM, along with 23,
the two numbers are
{{{322=14*23=2*7*23}}} and {{{13*23=299}}}
Their LCM is {{{2*7*13*23=14*13*23=4186}}}
 
It would be a more interesting problem if they told you that the LCM of 2 numbers is
{{{4186=2*7*13*23}}} and they asked you
what is the largest number that could be one of the two numbers if the HCF is {{{23}}}.