Step 1: Major contributors to Earth's heat budget.
The Earth's heat budget is dominated by solar radiation. The incoming solar radiation, its reflection, absorption, and re-radiation constitute the largest share of energy exchange.
Step 2: Secondary contributors.
Other minor contributions come from geothermal flux (heat flow from Earth's interior due to radioactive decay and residual formation heat) and tidal friction (causing small dissipation of rotational energy as heat).
Step 3: Earthquake energy release.
The global annual energy released by all earthquakes combined is negligible compared to geothermal heat or tidal dissipation. While individual large earthquakes release tremendous localized energy, the total annual contribution is extremely small relative to Earth's overall energy budget.
Step 4: Comparison.
- Solar radiation (via reflection/re-radiation): Dominant component.
- Geothermal flux: Small, but continuous and measurable (~0.1 W/m$^2$ globally).
- Tidal friction: Even smaller, but still continuous.
- Earthquake energy release: Intermittent and minuscule compared to the above.
\[
\therefore \ \text{The least contributor to the Earth's annual heat budget is energy released from earthquakes.}
\]
\[
\boxed{\text{Energy released from Earthquakes}}
\]