What time period did Hammurabi rule as the greatest king of the Old Babylonian Dynasty?

Hammurabi reigned from 1792 to 1750 B.C.E., during which he became renowned for his accomplishments, most notably the codification of laws known as the Code of Hammurabi. This code is one of the earliest written legal systems and laid the foundation for the administration of justice in Mesopotamia and beyond. His rule is significant not only for the laws he established but also for his contributions to consolidating and expanding the Babylonian Empire, which flourished under his leadership.

This specific time frame is critical as it marks the height of the Old Babylonian dynasty's influence, showcasing Hammurabi's role in strengthening and unifying the various city-states in Mesopotamia. The era is characterized by advancements in various fields including mathematics, astronomy, and architectural development, which were largely supported by Hammurabi's centralized administration.