jQuery how to get html table id above button after clicked

I have an html table followed by a button that says "Add Row" below it.

When I click on the button, I would like to add a new row onto the html table but first I need to get the html table id above.

Is there anyway in jQuery to say "Give me the id of the html table right before thi开发者_如何学Cs button"?

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$("button").click(function(){
  var tblID = $(this).prev("table:first").attr("id");
});