LexicographSort Integer List

Program.cs

using System;
using System.Collections.Generic;
using System.Linq;

namespace LexicographicSortIntegerList
{
    class Program
    {
        static void Main(string[] args)
        {
            while (true)
            {
                // echo "41 4\n" | dotnet run (Output 441)
                List<int> digits = "41 4"
                    .Split(' ')
                    .Select(Int32.Parse)
                    .ToList();

                digits.Sort((a, b) =>
                {
                    int aMagnitude = (int)Math.Pow(10, (int)(Math.Log10(a) + 1));
                    int bMagnitude = (int)Math.Pow(10, (int)(Math.Log10(b) + 1));

                    int left = a * bMagnitude + b;
                    int right = b * aMagnitude + a;

                    return right.CompareTo(left);
                });

                Console.WriteLine(String.Join("", digits));
            }
        }
    }
}