CMD in this case being California Micro Devices, who bought GTE’s microprocessor business in the mid-to-late 1980s, and then was acquired by onsemi in 2009. The BBC Master used their CPUs

There is another CMD, Creative Micro Designs, who sold aftermarket peripherals for Commodore 64/etc

Commodore manufactured chips either under the MOS Technology or Commodore Semiconductor Group (CSG) names.