An adaptive low dropout voltage regulator (LDO) circuit having low power dissipation, and a method of regulating voltage while maintaining low power dissipation. Power dissipation in an LDO circuit is controlled and held to a low value using an LDO circuit that maintains a constant voltage difference between Vin and Vout; that is, ΔV=Vin−Vout is approximately constant rather than linearly variable as a function of Vin. The output voltage Vout essentially tracks the input voltage Vin with an offset equal to ΔV; Vout increases as Vin, but is kept between minimum and maximum voltage output specification limits.