A variable valve actuation (VVA) system comprises a spark control module and a phaser control module. The spark control module maintains a spark timing of a cylinder at a maximum braking torque (MBT) spark timing during engine idling. The phaser control module, during the engine idling, adjusts an intake valve timing of the cylinder away from a predetermined intake valve timing. The predetermined intake valve timing corresponds to a maximum air per cylinder (APC) for the cylinder at a current engine speed. The adjustment of the intake valve timing produces an APC that is less than the maximum APC.