Posting transaction to two Ledger Groups with different calendar

Hello All

We have a need of posting a journal to two ledger groups as the ledger groups follow different calendars

I know at the journal level, I can enter only one ledger group and the Fiscal Year and accounting period would get resolved based on the calendar

What are the ways in which I can get the same transaction in another ledger group but booked to the fiscal year and accounting period corresponding to the calendar defined for this ledger group

Thanks