A method for cutting-free of a workpiece part by means of a laser beam and associated laser cutting machine

A method for cutting-free of a workpiece part (2) along a set path (3) consists of a plate-shaped workpiece (4) by means of a laser beam (5) of a laser cutting machine (1) comprising a first drive (6) for moving the workpiece (4) at least along one first drive axis (X), a second drive (7) for moving a laser beam (5) on the workpiece (4) aligning the laser cutting head (8) at least along the first drive axis (X), said driving axles setpoints (XS) of the set path (3 ) of the laser beam (5) (in drive axles setpoints XG) (for the first drive 6) and drive axles setpoints (XF) of the second drive (7) is divided, characterized in that after a switching time (t (6) are transferred to a constant drive axles setpoint b, so that after the braking of the first drive (6), the cutting free of the workpiece part (2) is carried out only by moving the laser cutting head (8) and the workpiece (4) at the latest at the Freischnittendposition (F) comes to a stop.