Sharing a Cost Book

Hello,

Are there any restrictions for using the same Cost Book across multiple Cost Organizations, belonging to different Legal Entities?

The client has four Legal Entities, that will have four different Cost Organizations, one for each LE (we are not looking to share the costs across the Cost Organizations).

All LEs will use the same costing method and the same ledger.

We are trying to understand if there are any restrictions for using the same Cost Book for all three Cost Organizations, for convenience purposes?
Is it recommended to create a separate Cost Book for each Cost Organization?

Thank you,