Agree with your math, but there are a few issues that could add to it.
1) LP's debt has a convert option. That could add about 9M shares.
2) They maintain that "employees" should have options at 20% of total equity [scare quotes because they are almost all LP/LG]. If they elect to "true up" that again it would be another 15M shares or so.
Not saying these certain, but possible.
P.S.: The 100,158,932 were options, I assume you made a typ0.