A space elevator from the Moon's equator, slightly past the L1 Lagrange point and extending into cis-lunar space would have a substantially lower tensile strength requirement than an Earth-based elevator.

But just what tensile strength would be needed for the cable?

![lunar space elevator](https://i.stack.imgur.com/X2oBI.png) [Source](https://en.wikipedia.org/wiki/File:Lunar_space_elevator.svg)

The counterweight is slightly on the Earth side of L1, because L1 is unstable to perturbations. The closer the counterweight is brought to Earth, the harder it will be to perturb, but there will also be more tension needed in the cable. Thus, one picks a point as close to L1 as feasible. The answer will be approximately the same whether you pick exactly at L1, or slightly on the Earth side of L1. Therefore, you may use the distance to L1 for calculations, even though the actual distance would be slightly more than that.

I am looking for a numerical answer, not a list of possible materials or a comparison to other space elevators. Neither the [Wikipedia article](https://en.wikipedia.org/wiki/Lunar_space_elevator) nor answers to the following two questions provide an actual number.

* [Between a space elevator on Mars versus the Moon, which would have lower material strength requirement?](https://space.stackexchange.com/q/2158/12102)
* [Reverse Lunar Space Elevator](https://space.stackexchange.com/q/6316/12102)