LCAO and electrons

After having studied the LCAO method, it is assumed that the wavefunction of a single electron in a molecule can be written as a linear combination. I have two questions:

  1. Which electron of the atoms are we describing, only the outermost electron or?
  2. Molecules are comprised of atoms and these atoms have multiple electrons, how do we model multiple electrons via the LCAO method? Are the electrons assumed to be non-interacting such that each electron can be described by the LCAO method separately?

Thank you in advance for your time and effort.

With kind regards,

Jelle