I'm not sure if the M&Pc is different from the Shield, but I do not believe the serial number has anything to do with manufacture date.
If you have the test fire case envelope, the date on it is within a week of rolling off the line.
If you don't have that, just email (or call) S&W CS, give them your serial number and they will tell you. That's what I did with my model 19.
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