In color measurement, "K" (majuscule) means the color temperature in Kelvins, which is the temperature of a black-body radiator that (at least roughly) corresponds to the spectrum of the light source.
Daylight is normally considered 5500 K. Old-fashioned incandescent lights are roughly 2400 to 3200 K. A common misnomer is to call that "warm" because it is reddish or yellowish, although the color temperature is lower.
When you get above 5500 K, the color appears blueish, misnamed "cool".
see:
https://en.wikipedia.org/wiki/Color_temperature for an elementary discussion.
The best choice depends on your application. This is rarely critical, except in lighting for color photography (film or digital).