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Unique ID for WordPress shortcodes when used more than once on a page?

I’m currently coding a WordPress shortcode and it has some javascript involved. For javascript to work properly I need to use a div with a unique #ID. If the shortcode is used once, it works fine, but if they were to use the shortcode more than once on a page, it would break the javascript.

So, I’m wondering if there is some way to use a unique ID every time the shortcode is called? Or some way to have a different ID if the shortcode is used more than once on a page?