AFAI Remember, the BKS, BM, and the BKM all use the same Recoil Spring.
I don't remember a separate factory weight for the Alloy framed (K) guns, but I may be wrong.
Wolf lists their replacement Recoil Springs for the Model BM (only)
Factory @ 12#
added..
FWIW, Numrich lists the Recoil Spring for the Model BKM & BM as the same part number springs. However they list the recoil spring for the BKS as a DIFFERENT part number.
Jack First's Parts lists one spring as the same for the Models BKS, BKM and BM.
Neither gives a weight of the spring.
Thanks, the rod inside the spring is slightly shorter on the alloy frame gun because the buttress in the alloy frame is thicker by about 3/16 of an inch. I got this as a bag of parts so figure I should replace the spring.