A frequency synthesizer is provided in the present invention. The frequency synthesizer includes a single phase-locked loop having a reference frequency signal input, a first output, a second output and a pair of divide-by-N circuits coupled with each other and electrically connected to the second output; a multiply-by-M circuit having a first input electrically connected to the first output and a third output; and a combination of a buffer and a mixer having a second input electrically connected to the second output and a third input electrically connected to the third output generating a frequency signal output.