He was the eldest son of Oluğ Möxämmäd, and is reputed to be one of the Khanate's founders.

Mäxmüd participated in his father's military campaigns against Muscovy, and in 1445, was victorious at the Battle of Suzdal, taking the Grand Duke of Moscow Vasily II captive and forcing Muscovy to pay tribute (yasak).

After the death of Oluğ Möxämmäd, Mäxmüd succeeded to the throne of Kazan.

In 1448, Mäxmüd attacked Moscow to preserve advantageous treaty conditions that were concluded after the battle of Suzdal.

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