Do all military prisoners go to Leavenworth?

Excuse me, but I've heard a lot of talk about Leavenworth and military prisoners. I'm curious, does every military prisoner automatically get sent to Leavenworth? I've heard that it's a high-security facility, but is it truly the only option for military offenders? Or are there other facilities and prisons that house military prisoners based on the severity of their crimes? I'm genuinely trying to understand the logistics and procedures behind military detention and incarceration, and how Leavenworth specifically fits into that picture. Thank you for clarifying this matter for me.