Dear Student,
Equilibrium constants does not change even on adding a catalyst. A catalyst accelerate both the forward reaction and the backward reactions equally hence a dynamic equilibrium is established between them when the rates of the forward and the backward reactions occur simultaneously equal. From this we can conclude, that when a catalyst speeds up both the reactions at a same amount or extent, then they will remain equal without any change in the position of equilibrium.
An equilibrium constant can only be changed in case of change of temperature.
Regards,