We show that Einstein s general theory of relativity, together with the a ssumption that the prin- ciple of relativity encompasses rotational motion, predicts that in a flat Friedmann-Lemaitre-Robertson- Walker (FLRW) universe model with dust and Lorentz Invariant Vacuum Energy (LIVE), the density parameter of vacuum energy must have the value Ω Λ 0 =0 . 737. The physical mechanism connecting the relativity of rotational motion with the energy density of dark energy is the inertial dragging effect. The predicted value is necessary in order to have perfect inertial dragging, which is required for rotational motion to be relative. If one accepts that due to the impossibility of d efining motion for a single particle in an otherwise empty universe, the universe must be constructed so that all ty pes of motion are relative, then this solves the so-called cosmological constant problem.