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Yes this factory mag fits your CM40 see ******** This is a Kahr Arms standard factory replacement magazine. This magazine is for Covert/MK/PM/CM firearms chambered in .40 Smith & Wesson and holds 6 rounds of ammunition. It is made of stainless steel and features a natural steel finish. The magazine is made to Kahr's specifications and tolerances, using the same manufacturing and materials as the original equipment magazines, ensuring perfect fit and operation. Next time you are in need of a magazine for your Kahr firearm, the choice is simple, go with a Kahr magazine.
Features and Specifications:
Manufacturer Number: KS620
Kahr Arms Covert/MK/PM/CM .40 S&W Magazine 6 Rounds Stainless Steel
Caliber: .40 Smith & Wesson
Capacity: 6 Rounds
Body Material: Stainless Steel
Spring Material: Heat Treated Spring Wire
Follower Material: Polymer
Follower Color: Black
Extended baseplate
Kahr Arms factory magazine
Finish: Natural Stainless
Fits:
*******Kahr Arms Covert, MK, PM, and CM models

Item#: MAG-434-011

Hey Marcel, probably not. It definitely wouldn't be flush but if you trimmed or changed the baseplate you might get it to work.