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 general data-durability pattern (multiple copies within one location). Azure exposes it explicitly as LRS. AWS and Google Cloud typically describe durability via multi-AZ/region options rather than a named 'local redundancy' tier, though many underlying storage systems still replicate within a facility.