In designing a conical end mill with a helical front surface, the geometry of the grinding wheel has an influence on the shape of the back profile, as this study shows. For the first time, the influence of the generix of a conical circle's angle of inclination on various interference schemes has been studied. Through the combination of laser ablation and grinding, the underpoints of the helical surface were given their final shapes, indicating the standard sizes that would affect the execution's ability to be manufactured. This work will result in the engineering of a system for automated manufacturing of conical mills, as well as the development of control programs for CNC grinding and laser ablation machines. It will also enable the development of design support for cutting tool production. The work reveals analytical dependences of the value of the clearance angle, controlled at the point of the flank surface during the transition from the radius of the cutting edge to the profile section of the helical flute in the radial section, which is set from the coordinate of a parametrically defined point along the OX axis in the radial section. It has been established that the value of the radius of curvature of the cutting edge and the point of formation of the transition of the radius to the profile can significantly change the kinematic geometry of the cutter (up to nine degrees when the radius of the cutting-edge changes by 30 μmm).