Does a DaaS tool that does not hold CUI need to be FedRAMP to comply with CMMC?

Specifically my question is we are looking for a solution to manage our Macs, Linux, and Windows machines in one environment…Does this need to be FedRAMP compliant to also be compliant with CMMC? The system would hold no CUI or data at all besides acting as the middle man for password authentication, MFA, some policies and managing users/devices.

Really curious about this, if some one could answer that would be great!