In Christian theology, the term Body of Christ has two separate connotations: it may refer to Jesus's statement about the Eucharist at the Last Supper that "This is my body" in Luke 22:19-20, or the explicit usage of the term by the Apostle Paul in I Corinthians to refer to the Christian Church.
I always understood it to be the first meaning. I could be wrong though, it wouldnt be the first time.