You cannot change the brightness (W/m^2-sr) of a source by adding additional sources. Since they are separated in space, the constant brightness theorem gives you more total light, but spread out more in angle or area.
Take the example of using a beamsplitter to add two sources. Say the beam splitter is 50/50, the net output is then 50%*L+5-50%*L = L if both LED are the same brightness.
You can change the illuminance at the destination, by adding sources, not unlike stage lighting, but the angle of acceptance is quite large then.
TTFN
FAQ731-376