Define $\Lambda _m = \frac{\kappa \times 1000}{C}$ where $C$ is concentration in $mol \ L^{-1}$ and $\kappa$ is conductivity in $S \ cm^{-1}$.

(N/A) The term $\Lambda _m$ represents the molar conductivity of an electrolytic solution.
It is defined as the conducting power of all the ions produced by dissolving one mole of an electrolyte in a solution of volume $V \ mL$.
In the given formula,$\kappa$ is the conductivity (specific conductance) in $S \ cm^{-1}$,$C$ is the molar concentration in $mol \ L^{-1}$,and the factor $1000$ is used to convert the concentration from $mol \ L^{-1}$ to $mol \ cm^{-3}$ (since $1 \ L = 1000 \ cm^3$).