The invention relates to a method for machining a multi-layer workpiece blank (3) by means of a laser beam, comprising the following steps: specifying a machining program for machining the workpiece blank according to an ablation geometry in order to generate a desired edge and/or surface geometry (13) using a laser machining device; tensioning the workpiece blank in the laser machining device and positioning the workpiece holder in a measuring position; measuring a thickness of at least one of the layers of the multi-layer workpiece blank (3); modifying the machining program in order to machine the multi-layer workpiece blank (3) according to the measured layer thickness with an consistent ablation geometry; and machining the tensioned workpiece blank (3) using the modified machining program via a laser of the laser machining device in order to generate the desired edge and/or surface geometry (13) with a cutting edge (12). The invention also relates to a correspondingly configured device.