Computer simulations examining thousands of scenarios have determined it would have taken about 20 mini-moons to create the one that orbits the Earth.
The researchers, from Israel, say the process may have taken millions of years.
It was previously believed that the moon was formed when a giant asteroid collided with the earth, knocking off a piece of it that ultimately failed to escape the Earth's gravity.
The scientists say the latest theory could explain why the moon appears to be made of material from Earth and not from outer space.
It was assumed that some of the asteroid would have remained attached to the piece that ended up in orbit.
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The findings by Weizmann Institute of Science's Raluca Rufu were published in Nature Geoscience.
Co-author Hagai Perets of the Technion, Israel Institute of Technology in Haifa, said: "Our model suggests that the ancient Earth once hosted a series of moons, each one formed from a different collision with the proto-Earth.
Mr Rufu added: "It's likely that small moons formed through the process could cross orbits, collide and merge."
Gareth Collins, from London's Imperial College, said more evidence was needed in order to determine what happened.
In a companion article to accompany the theory, he said some of the moonlets must have been lost in space or failed to merge properly, so many more impacts may have been required.
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