A liquid crystal display (LCD) and corresponding driving method. The LCD includes a liquid crystal display panel for displaying images, a gate driver and a source driver for supplying scan signals and analog pixel signals to gate and data lines of the liquid crystal panel, a backlight unit having a side radiation type LED array that is driven sectionally by a plurality of unit areas to irradiate light to the liquid crystal display panel, and a luminance controller for controlling a luminance of the LED array by unit areas according to surrounding units areas.