Disclosed embodiments relate to a cache line eviction algorithm. In one example, a system includes a last level cache (LLC) having multiple ways, each allocated to one of multiple priorities, each having specified minimum and maximum ways to occupy, a cache control circuit (CCC) to store an incoming cache line (CL) having a requestor priority to an invalid CL, if any, otherwise, when the requestor priority is a lowest priority and has an occupancy of one or more, or when the occupancy is at a maximum, to evict a least recently used (LRU) CL of the requestor priority, otherwise, when the occupancy is between a minimum and a maximum, to evict a LRU CL of the requestor or a lower priority, otherwise, when the occupancy is less than the minimum, to evict a LRU CL, if any, of the lower priority, and otherwise, to evict a LRU CL of a higher priority.