The same Smart-ID account works for accessing both your private and your corporate accounts. Just choose the relevant credentials when logging in.
Corporate client limitations in Lithuania:
There is a difference if you want to use your corporate banking credentials to register a Smart-ID Basic account in Lithuania. SEB and Luminor corporate client credentials cannot be used for banklink authentication during Smart-ID account registration. If you are a SEB or Luminor corporate client in Lithuania, then you will need to register your Smart-ID account using an ID-card, mobile-ID or by visiting your bank office. Alternatively you can register a Smart-ID Basic level account using your private client credentials.
Once the Smart-ID account is registered, you can then use it for corporate banking as normal.