6" Long Reflector on E21

I am only talking about parabolic reflectors of differents sizes. Luminous intensity (throw) only depends on the frontal surface area (a flat circle with a hole in the middle) and the luminance of the light source (and some losses because of reflectivity, transmission etc.). The divergence doesn't affect it in a meaningful way. Try the calculators I linked to above.

We have had this discussion multiple times over the years here in the forum and in other forums. Here's a German explanation (use google translate).

Also, you don't need to consider any special equations for specific LEDs (unless they have a dome and a very untypical emission angle like 80° etc.). All LEDs without a dome are lambertian emitters and thus all work the same in conjuntion with reflectors.

The maximum luminance values of many LEDs can be found here. You can use those to calculate what is possible with a given reflector (or optic).