Working late night with dingy dim Laptop lights is not the best idea for your eyes.
Here we shall Take a normal Ebay LED laptop Keyboard light, and Modify it for better colour (Neutral white) and Brightness.
In the first Picture, you can see our final Project. I am afraid that camera was not able to pick up the decent brightness of the LED. The keyboard is fully illuminated and about 5x improvement over stock LED is noticed.
1) Disconnet your LED light
2) Pry out the lens to access the LED inside
3) Cut the LED wires and save it for later projects (Eg toys)
4)Buy A 7.62mm Pirhana (4-pin super flux) or Similar SUPER Bright LED from your fav store
5) Calculate the new resistance value for your LED. Pirhanas are fine with upto 80mA of current. About 4 times as a normal LED
6) Solder and Re-fit
7)Plug in and Enjoy!