Storing multiple copies of data within a single data center or location for protection against hardware failures. Like keeping spare parts in your workshop in case something breaks.
A database keeps 3 copies of data on different storage devices in the same data center to survive disk failures.
Local redundancy is a storage durability approach rather than a single universal service name. Azure explicitly offers it as LRS. AWS and Google Cloud typically describe durability/replication at the service level (e.g., within an Availability Zone or region) rather than using the generic label "local redundancy" as a product tier. OCI similarly describes redundancy via service-specific durability/replication options rather than a named "local redundancy" tier.