The moon's gravitational field is far smaller than the earth's. It is 1/6 of earth's when measured at the surface because the of moon's smaller radius. But the moon has only about 1/80 the mass of the earth. So it's gravity is 1/80 of earth's, when both are measured at the same distance from the center.
The difference is even more dramatic than this. Most of the mass at liftoff from the earth is fuel. The fuel used early in the launch must lift all the other fuel that will be used later.
The difference is even more dramatic than this. Most of the mass at liftoff from the earth is fuel. The fuel used early in the launch must lift all the other fuel that will be used later.