It's obvious that Alexander III expanded his empire all the way to India, but I can't seem to find the eastern most city that minted coins in his name?! Here's one of his lifetime issue from Lampsakos.
I was going to check Pella, which may have a map of his mints, but it is down for me (but apparently not for everyone else??). http://numismatics.org/pella/ Let me know if the site is working for you and if it has the information you seek.
As a conversation starter, I found a couple of references online that suggest Ekbatana and Susa as possible eastern-most mints during Alexander's lifetime. More conservative writers seem to cite Babylon as the eastern-most certain mint. Posthumous coins and later imitations extend further, of course. It's not my specialty but an interesting question!
It's back up and there is a map of mints . You can filter by issuing authority. http://numismatics.org/pella/maps
Ekbatana was supposedly one of Alexander's chief treasuries, but we know of no lifetime coins minted there. Susa did mint coins during his lifetime. Here's one. Alexander the GreatTetradrachm AR 24 mm, 16.80 g, 7 h Susa, struck under Koinos, circa 324-323 BCE. Price 3829 Ex Leu
The most Eastern mint that struck the tetradrachms was Ekbatana, but they are not lifetime. SELEUKID EMPIRE. Seleukos I Nikator. 312-281 BC. AR Tetradrachm (25.5mm, 16.82g). In the name of Alexander III of Macedon. Ekbatana mint. Struck circa 311-295/81 BC. Ref: SC 202.12; Price 3938; HGC 9, 9e, ESM 485 Note: This is the Wildwinds.com example. Note: Houghton and Lorber (SC, p. 81) suggest this issue is contemporary with those bearing the name of Seleukos. Ex Classical Numismatic Group 61 (25 September 2002), lot 479. (Dr. Will Gordon collection) The authors of Seleucid Coins suggest this type began in 295 BC and was perhaps contemporary with issues in the name of Seleukos.
