A light emitting diode (LED) driving apparatus includes a power converting unit and a driving controlling unit. The power converting unit switches input power to supply driving power to at least one LED. In one example, the driving controlling unit controls the supplying of the power based on a switching period of the power converting unit and a demagnetization time in the switching period. In another example, the driving controlling unit controls the supplying of the power based on the input power, a switching period of the power converting unit, and a drain voltage by the switching.