Leitgeb is a German surname. Notable people with the surname include:

• Christoph Leitgeb (born 1985), Austrian footballer
• Hannes Leitgeb (born 1972), Austrian philosopher and mathematician
• Hubert Leitgeb (1965–2012), Italian biathlete
• Hubert Leitgeb (botanist), (1835–1888), Austrian botanist
• Mario Leitgeb (born 1988), Austrian footballer

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