Get post ID’s from one query and exclude from another

While running the loop of the first query, just collect the IDs into an array. Example:

// define your first query's arguments
$args1 = array(
    ... your first query args
);
$query1 = new WP_Query($args1);
while ( $query1->have_posts() ): $query1->the_post();
    // this is your loop. Do whatever you want here
    // add this in the loop to collect the post IDs
    $exclude_posts[] = $post->ID;
endwhile;

// define your second query's arguments
$args2 = array(
    'post__not_in' => $exclude_posts,
    ... rest of your parameters
);
$query2 = new WP_Query($args2);
while ( $query2->have_posts() ): $query2->the_post();
    // this is your second loop. Do whatever you want here
endwhile;
wp_reset_postdata();