Get multiple category names inside the loop

I need to be able to get all the category names within a post in the loop.

I have checked out WordPress get_the_category on this, and the example Show the First Category Name Only
works how I want, but only shows One category:

<?php
$category = get_the_category();
echo $category[0]->cat_name;
?>

How do I get all of them?

Thanks,

Ian