A Microsoft app for iOS and Android devices that enables authentication with two-factor verification, phone sign-in, and code generation
You can normally support both a Microsoft Personal and a single Work or School account on the same Authenticator app and device, including using the cloud backup for either Android or iOS to perform backup for these along with a large number of additional ToTP code generator accounts for 3rd-party accounts.
"You can use Microsoft Authenticator for multiple accounts, including Microsoft personal accounts; work/school accounts; and non-Microsoft accounts, such as Amazon, Facebook, Instagram and Google."
Here's the instructions for the typical setup scenarios for both types of Microsoft, Work or School, or other accounts.
How to add your accounts to Microsoft Authenticator - Microsoft Support
Remember to search for and perform the backup using your personal account login to backup all of these authentication objects to either iCloud or via Android's device backup to the appropriate account, along with creating and storing multiple verification methods with alternate email, phone (text) and whatever other methods you can support including Windows Hello Face, Fingerprint or PIN, Passkey, etc. on your primary device if possible in case the phone containing the authenticator is lost or stolen, since no one can help you recover from a lost, stolen or damaged phone once 2-Step verification is enabled and required for your personal account.
Rob