Display Updated Date Instead of Published Date

Not sure if this is what you are looking for: 

Published on <a class="entry-date" href="https://wordpress.stackexchange.com/questions/326851/<?php echo 
get_month_link(get_post_time("Y'),get_post_time('m')); ?>" > 
<span itemprop="datePublished"><?php echo the_modified_date('F j, Y'); ?> 
</span></a>

This will replace the published date by the last modified

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