Here is the answer from our responsible department :

The Kenwood Slow Juicer KAX720PL is compatible with all Kenwood food processors with an electrical connection. That is, with the connection on the front of the motor head. If your food processor is already equipped with the new KAX hexagonal connection (e.g. Cooking Chef Connect, Cooking Chef Gourmet, Titanium Chef Patissier XL, Chef Titanium, Chef XL Titanium, Chef Elite, Chef XL Elite, Chef Sense, ...), you can use the Kenwood Slow Juicer without an adapter.

For older Kenwood food processors with a square attachment (e.g. Cooking Chef Major and all Chef models whose item number starts with KM, KMM or KMC), you need the KAT001ME adapter. Please order it at the same time.

You still need the adapter for the Major :
Kenwood Adaptateur KAT001ME pour connexion à bas débit

Thank you! The answer is very useful!
Renzo Baranzini