Sc, Zr, and Re are medically relevant radioisotopes applicable for targeted radionuclide therapy (TRT) and positron emission tomography (PET) imaging. Conventionally, these isotopes are primarily produced using nuclear reactors and cyclotrons, which require large-scale facilities. In contrast, modern laser technology enables tabletop production of such isotopes via photonuclear reactions, offering a novel and promising alternative approach. Herein, we propose a method to produce these isotopes by driving photonuclear reactions with a circularly polarized Laguerre–Gaussian (CP-LG) laser. The interaction between the CP-LG laser and the dense hollow cylinder target generates an electron beam with energy exceeding 8 MeV and a charge of nearly 87 nC. The high-density pulse of relativistic electrons generated bombards an optimized tantalum converter, producing a high-flux Bremsstrahlung -ray source in the giant dipole resonance region with a yield of photons per shot. These -rays then irradiate parent targets (Sc, Zr, and Re) to yield the corresponding isotopes (Sc, Zr, and Re), with their activity meeting clinical PET and TRT requirements under 0.1–2.15 h of continuous irradiation at a 10 Hz repetition rate.