There's some rinky dinky cheap lighting out there for hand held video cameras but it is likely Chinese and the color temperature and intensity standard is going to be just as low as their Halogen and Halide, with arc lamps out-of-the-question.
Here's a manufacturer for professional units but it depends on what you call "cheap"
http://www.flolight.com/led-lighting.html
There is one review and the small battery requirement for the unit is a major plus for location shooting.