BOISE, Idaho — Shares of Micron Technology Inc. rose 3.33% to $1,078.75 in Tuesday trading, adding $34.79, extending a powerful rally in the memory chipmaker's stock as investor enthusiasm for artificial intelligence-driven memory demand continues building heading into the company's fiscal fourth-quarter earnings report next week.

Tuesday's gain follows a strong session Monday, when Micron shares closed at $1,043.96, up 2.77%, outpacing a broader 2.26% advance in the Nasdaq Composite that same day. The stock has now climbed more than 256% since the start of the year, according to recent market data, a run that has pushed Micron's market capitalization above $1.15 trillion and left shares trading within striking distance of the company's all-time high of $1,255, reached on June 25.

The rally has been fueled largely by surging demand for high-bandwidth memory, or HBM, chips used in artificial intelligence accelerators, a dynamic that has lifted memory chipmakers broadly across global markets in recent weeks. Micron has continued expanding its AI memory story beyond HBM specifically in recent sessions, with the company adding new details to its broader artificial intelligence narrative in a disclosure made September 15, according to market commentary tracking the stock.

Investors are now turning their attention to Micron's upcoming fiscal fourth-quarter results, scheduled........

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