An apparatus and a method for making small frequency adjustments in a frequency synthesizer. The frequency synthesizer consists of the forward portion of a phase locked loop with feedback through a fixed frequency divider and the output of the forward portion of the phase locked loop connected to a dynamically variable frequency divider. By changing the constant of division in the variable frequency divider, the output of the frequency divider can be rapidly changed in small increments. The dynamically variable frequency divider is key to this design. This digital circuit stores the current divisor value and has an input for a new divisor value. When a signal is sent to switch to the new divisor value, the circuit uses an incrementer and associated logic to rapidly change to the new constant of division.