For a reaction if K_p > K_c the forward reaction is favoured by

Given K_P > K_C

We know K_P = K_C (RT)^Δn

given  $\frac{{\mathrm{K}}_{\mathrm{p}}}{{\mathrm{K}}_{\mathrm{c}}}>1$ only when Δn_g is positive.

Δn_g = n_p (g) - n_R (g)

${∆}_{\mathrm{n}\left(\mathrm{g}\right)}$ is positive

n_p (g) > n_R (g)

 From left to right i.e. forward reaction involves increase in volume.

According to Le-Chatlier's principle reactions involving increase in volume are favoured at low pressure.