Pour 1 can of chickpeas with its liquid into a Vitamix or other blender. Drain second can of chickpeas, reserving liquid. Set liquid aside and add chickpeas to the blender.

Heat 1 tablespoon oil in a 6- to 8-inch saucepan over medium-high heat. Add garlic and sauté until just turning golden in color, about 1 minute. Immediately remove from heat and add sautéed garlic with pan oil to the blender.

Use a citrus press to squeeze juice from the lemon directly into the blender, avoiding getting seeds into the mixture. Add remaining oil, tahini, salt, and cumin.

Blend thoroughly on high speed for 1 to 2 minutes. Add in desired amount of reserved chickpea liquid slowly and continue blending until desired consistency is reached, 2 to 3 minutes.