The 12V LED will already have a resistor built in.
See this article for how they calculated it.
http://www.electronics-tutorials.ws/diode/diode_8.htmlFrom the data sheet, or by applying 12V to the LED, determine what current that the LED is running at.
Add an extra series resistor, doesn't matter which lead you connect it to.
It's value is.
1) R=(19V-12V)/ I (current at 12V).
Power rating of resistor.
w> 49/R (where R is the result from 1) above)
If you use a 24V LED at nineteen volts, expect a drop in brightness, but it may be acceptable, you may be able to work out what the intensity drop will be if you have sufficient data for the LED, otherwise do it by observation,
cheers,
Richard