Within the framework of the charge-conserving hadronic-bremsstrahlung model and using the lower-regime-of-high-energy collisions approximation, we derive a new expression for the integral mean multiplicities of produced charged particles. Although in $\mathrm{pp}$ collisions the lower-energy regime extends to about $s\approx 60$ ${\mathrm{GeV}}^2$ [$s=\mathrm{the} \mathrm{c}.\mathrm{m}.\mathrm{} \left(\mathrm{center} \mathrm{of} \mathrm{mass}\right) \mathrm{energy} \mathrm{squared}$], the expressions for the integral mean charged-particle multiplicities describe the trend of the experimental data surprisingly well through the CERN-ISR (intersecting-storage-ring) energies ($s\approx 2000$ ${\mathrm{GeV}}^2$). This, according to our formalism, is an indication that mean multiplicities are rather smooth functions of $t$ (the negative square of the c.m. momentum transfer of protons) for all $s$.

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