Sorry, but I am not sure I understand what you are trying to do.
The core of LCCS is real time communication between Flash clients using Flash-only network protocols (rtmp, etc.) so if you are trying to build a set of Silverlight applications that communicate in real time this may be the wrong component for you.
But if you want to write Flash applications that uses LCCS as the backbone and also interact with an application server written using .NET we also provide some server-side APIs that you can leverage for account management and in the next version of the SDK we'll include the .NET interfaces.