NIT admission depends on category, home state quota / Other state quota etc. It varies every year so it would be tough to tell you the exact. But as per the previous year to get Mechanical Engineer as a General category other state quota cutoff opening rank was 7018 & closing rank was 12032. You can also refer the below given article for the further information.

https://engineering.careers360.com/articles/jee-main-cutoff-for-nit-calicut

Good Luck!

You didn't mention under which Quota you want to get the closing rank because there are various Quota Such as state quota category quota and gender quota therefore I have given a linked where you can check the closing rank by adjusting various filters.

https://josaa.nic.in/josaaorcrarchieve/Result/OpeningClosingRankArchieveN.aspx?enc=N9lE47fIvQCtn+Sq4k3AR/PB9WcjYR9Ghf4gYFx/r3w=