[O] Adding a LAST_REPEAT property without logging

[Luke]

I have a number of repeated tasks in my Org-mode file. As a general rule 
I don't require logging of TODO state changes (which I've disabled by 
setting org-log-repeat to nil).

However, while I don't need the full history of TODO state changes, it 
would be useful for me to know the last time that a task was repeated. 
The LAST_REPEAT property is ideal for this, but when I disable logging 
this property is no longer added/updated for any repeated tasks.

Is there an easy way to have the LAST_REPEAT property, but without a 
history of TODO state changes?

--
Luke