Replication from multiple servers to a centralized server

Hello,

Currently, our systems are having their own individual MSSQL databases in multiple locations(1 DB per server). We need to create a single consolidated DB with the same structure in a centralized location. In this schema, there should be a server identifier column in every table to identify the source of data and to maintain uniqueness across the data. 

If we create an initial snapshot and then add the columns and modify the primary keys for tables, will setting up a transactional replication work in this scenario?

I'm a newbie in SQL, any help would be greatly appreciated.

Thanks