AHC: Largest single battle possible (Larger than Somme, Stalingrad, Tenochtitlan, Berlin, etc.)

Humanity achieves a technonological breakthrough early and has achieved FTL capabilities by 100 AD and gets into a massive interstellar war with some alien species or another will millions of ships, billions of soldiers and pieces of equipment in single battles, etc...

Reminds me of the anime Legend of Galactic Heroes where battles involving tens of thousands of ships on each side happen frequently and usually involve millions of deaths.
 
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