When king James 1 was on the throne what was spakespeare theatre company called?

During King James I's reign, Shakespeare's theater company was known as the King's Men. This name was adopted in 1603 when James I ascended to the throne and granted the company royal patronage, elevating their status and allowing them to perform at the court. The King's Men were previously known as the Lord Chamberlain's Men under Queen Elizabeth I.