From the Louisiana Department of Revenue in Baton Rouge:
Louisiana taxpayers who need more time to file their state individual income taxes must request extensions before the May 15, 2018, filing deadline to avoid late-filing penalties.
An extension provides more time to prepare and file a Louisiana individual income tax return. It does not grant additional time to pay any taxes due. Tax payments received after the return due date are subject to interest and late-payment penalties.
To submit an extension request electronically, visit:
http://www.revenue.louisiana.gov/extensions