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Nutation and precession resonances are investigated for nanomagnets with uniaxial, biaxial, and cubic magnetocrystalline anisotropies employing the linearized inertial Landau–Lifshitz–Gilbert equation. Analytical expression analogous to the Smit–Beljers–Suhl formula for resonance frequencies is obtained. The estimated nutation resonance frequencies are compared with those obtained from the undamped inertial Landau–Lifshitz–Gilbert equation by determining numerically closed trajectories near the bottom of the deepest potential well. The good agreement of both independent estimations is demonstrated. [ABSTRACT FROM AUTHOR]