I have created a wildcard certificate using the LetsEncrypt . Now I am using the same wildcard cert with different subdomain in other server, so in case of the renewal how to renew the certificates if we used the same wildcard certificates on multiple servers??
Assuming you are using certbot you could create your own post-deployment hook script to sftp the certificate to your other server(s) when it's renewed on the primary server. You can also use other standard file copy/sync tools like rsync.
Each server can perform it's own certificate renewal using Certbot or whatever acme client you are using. It doesn't matter that it's certificates with the same wildcard, as long as you don't exceed the Rate Limits - Let's Encrypt
Assuming you are using automated DNS validation for your challenges it will be fine.