Lenz's Law refers to an induced emf on a conductor forcing a current to be produced that produces a magnetic field to oppose the change in magnetic flux on the conductor.
Faraday's Law refers to an emf induced in a conductor when there is a change in magnetic flux for the conductor (induced by a magnetic field).
Lenz's Law occurs due to what happens with Faraday's Law.
Faraday's Law just refers to how electromagnetic induction occurs. Lenz's Law interprets why it happens and how.
The way I think of Faraday's Law is:
And Lenz's law explains which way the voltage goes.