I have changed my credit card because of a security lapse and found that some recurring charges continued to work against the old card number without me having

I have changed my credit card because of a security lapse and found that some recurring charges continued to work against the old card number without me having to update the card at the vendor. I figured that the processor or issuer was handling this for my convenience, based on their knowledge of my established relationship with the vendor. However I have never had a vendor try to rebill an expired card, even though the CVC's and the expiration year are the only data which changed.