It more depends on the LED even color of LED can change the resistor but anything between 220 to 1K. There are calculators out there to determine "assumed" current draw and voltage. But 220 are usually what I use when I buy cheapos from eBay (usually are brightest) I think Red LEDs will require larger because their luminosity is greater with a similar current to other colors. I have seen some SMD RGB LEDs where the R pin suggested resistance is different than G and B.
If you are lucky enough to know your part number you can probably find its datasheet online, sometimes the datasheet will suggest wiring and circuit values for you.