Are those IDs for specific blog posts or for entire blogs? It sounds like you're trying to get the most popular posts from 2 separate blogs? That is possible, although the blog_popular_posts() function doesn't support it. You'll need to use the function twice and then add the lists together. So for example:
{% set popular_posts_one = blog_popular_posts(11653891338, 3) %}
{% set popular_posts_two = blog_popular_posts(11612398887, 3) %}
{% set popular_posts_all = (popular_posts_one + popular_posts_two)|sort('false', 'false', 'publish_date') %}
This will give you a list named popular_posts_all whose posts include the 3 most popular posts from blog ID 11653891338 and the 3 most popular posts from blog ID 11612398887, sorted by publish date. You can then loop through them, including a conditional for the loop index. Something like this for example:
{% for popular_post in popular_posts_all %}
{% if loop.index < 4 %}
{# HTML for blog posts here #}
{% endif %}
{% endfor %}
...will give you the 3 most recently published posts in your list.
Let me know if I've misunderstood your goal though.