The ionic radii of alkali metal ions in water (hydrated radii) are in the order
Li+ (aq.) > Na+ (aq.) > K+ (aq.) >Rb+ (aq.) > Cs+ (aq.)
If we just look at only the ionic radii - then clearly Li+ should be the smallest and common sense might compel us to think that the small ion should exhibit the best conductivity. However, among alkali metal cations - Li+ has the highest charge density and is thus hydrated to the largest extent. Thus Li+ has the highest hydrated ion radius and least conductivity in water.