A multichannel constant current LED driving circuit can include: (i) a power stage circuit having a power switching transistor, an inductor, and a rectifier circuit, where the power stage circuit is configured to receive a DC bus voltage, and to generate a pseudo-constant output signal to drive a plurality of LED strings; (ii) a current control unit configured to control an average current of each of the plurality of LED strings in accordance with a corresponding one of a plurality of dimming signals; and (iii) the current control unit being configured to control the power switching transistor in accordance with a current feedback signal that represents a current flowing through the LED strings, where the plurality of LED strings are coupled in series to receive the pseudo-constant output signal.