JSFiddle - React, Tailwind, and code Playground
HTML
<table id="t1"></table>
<div class="bulk_action">
<div title="Remove requests" class="trash_iconset_grey_16px removeRequest">Remove</div>
<div title="some other button" class="abc">Some other button</div>
</div>
<hr>
<table id="t2"></table>
<div class="bulk_action">
<div title="Remove requests" class="trash_iconset_grey_16px removeRequest">Remove</div>
<div title="some other button" class="abc">Some Other Button</div>
</div>
JavaScript
jQuery('.removeRequest').live ('click', function(){
var div_obj = $(this).parent();
var tbl = div_obj.prev('table');
alert(tbl.attr('id'));
});