What is the dimmest magnitude an object can have and still be visible next to the full moon?

The dimmest magnitude an object can have and still be visible next to a full moon is generally around magnitude +6 to +7. The full moon's brightness can reach about -12.7 magnitude, which significantly outshines fainter objects. However, under optimal dark-sky conditions and with good eyesight, some observers may still detect objects fainter than this, particularly if they are large or have a significant surface area.