The Lehmer-Schur Algorithm is like a special magic trick that helps grown-ups quickly and easily figure out really big numbers.
Imagine you have a LOT of marbles - thousands or even millions of them! You want to put them in order from smallest to biggest, but that would take a really long time if you just did it one at a time.
The Lehmer-Schur Algorithm helps you do it much faster by breaking the marbles up into smaller groups that are easier to sort. You compare the groups to each other to figure out which group has the smallest marble, and then you combine all the smallest-marble groups to make one even bigger group. You keep doing this until you end up with just one group that has all the marbles in the right order.
But the trick is that you have to use a special formula to figure out which groups have the smallest marbles. It's kind of like solving a puzzle!
Mathematicians use the Lehmer-Schur Algorithm to sort all kinds of big numbers, like really long prime numbers or complicated equations. It saves them a ton of time and effort!