In your case, you should go with 1.8k because you're already on the edge of the minimum base current to guarantee saturation.so would a 2kohm resistor work just as well if I don't have 1.91kohm
You could also use a larger current limiting resistor with a 2k base resistor because 20mA is sometimes the maximum continuous forward current for LEDs and you wouldn't be able to notice a difference in brightness between 20mA and 18mA or so. When I use LEDs as indicators, I often operate them at a few mA.