The invention provides a LED driving circuit and current mirror circuit. The current mirror circuit is used for matching current between two LEDs. The current mirror circuit includes a first sub-circuit, including a first transistor, a second transistor, and a first OPAMP, and a second sub-circuit including a third transistor, a fourth transistor, and a second OPAMP. The first sub-circuit is connected to a first LED and the second sub-circuit is connected to a second LED. The current mirror circuit also includes four switches which continuously switch the currents flowing through the first LED and the second LED to maintain a same average current through both the LEDs. This way, better current matching is achieved than possible using conventional current mirror circuits. The frequency of switching of currents is kept above the flicker perception of human eye, so that a person viewing the LEDs is unable to detect any changes in the illumination of the LEDs.