Linear guide assembly comprising at least two guide rails, which are moveable in the longitudinal direction with respect to each other and have prismatic shaped raceways, a plurality of rolling elements guided in a cage, at least one gear wheel for the positive guidance of the cage is connected to the cage, which wheel engages in toothed racks, each of which is connected to a guide rail, the gear wheel comprising a disk, having axial projections distributed around the periphery at least one of the end surfaces and rows of uniformly spaced recesses, into which the projections on the disk can engage.