Which OSPF database is identical on all converged routers within the same OSPF area?

The OSPF database that is identical on all converged routers within the same OSPF area is the link-state database (LSDB). Each router running OSPF within an area builds and maintains this database based on the link-state advertisements (LSAs) that are exchanged among routers.

When OSPF routers establish adjacencies, they share information about their own interfaces and their direct connections, which are collected in LSAs. All routers in the same OSPF area will receive these LSAs, allowing them to create an identical link-state database. This uniformity of the LSDB enables each router to compute the best paths through the network using the Dijkstra algorithm, ensuring that they all have a consistent view of the network topology.

This synchronization across routers is critical for OSPF's operation, as it allows for accurate and efficient route calculation and ensures that all routers have the same understanding of the available routes and their costs.