Lamda use with KeyValuePair or simple class.

My intent is to find the minimum value and associated ID of either a custom class or KeyValue pair.  Below is the small console app. I can locate the values I need using the sort function as shown ( delegate ). But I think there may be a cleaner way using lamda expressions.

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace FindClosestPart2
{
    class Program
    {
        class IdDelta
        {
            public int  ID {get;set;}
            public float Delta { get; set; }
        }
        static void Main(string[] args)
        {
            doMe();
        }
        private static void doMe()
        {  // create the list
           // then sort to find least value of all... or find the ID once the minValue located.
            var listKeyDeltas = new List<KeyValuePair<int,float>>();;
            Random xrandom = new Random();
            IdDelta[] ideltas = new IdDelta[50] ;
            for (int i = 0; i < 50; i++)
            {
                double trouble =xrandom.NextDouble();
                float calcAbs =  Convert.ToSingle(trouble);
                var keyDelta = new KeyValuePair<int, float>(i, calcAbs);
                listKeyDeltas.Add(keyDelta);
                ideltas[i] = new IdDelta();
                ideltas[i].Delta = calcAbs;
                ideltas[i].ID = i;
            }
            float minDelta = ideltas.Min(IdDelta => IdDelta.Delta);  // works... ( but now need ID... )
            IdDelta foome = new IdDelta();
         //   var fooX = new System.Collections.Generic.IEnumerable<FindClosestPart2.Program.IdDelta>();
         //   foome = ideltas.Where(IdDelta => IdDelta.Delta == minDelta);

       // listKeyDeltas.Min< ?? // is it possible to write either as lamda expression ??

           listKeyDeltas.Sort(Compare2);  // this works and gets everything I wanted
          
           Console.WriteLine("keyId : " + listKeyDeltas[0].Key +" with Min value of " + listKeyDeltas[0].Value);
           foreach (var pair in listKeyDeltas)
           {
               Console.WriteLine(pair);
           }
           Console.ReadKey();
        }

        static int Compare2(KeyValuePair<int, float> a, KeyValuePair<int, float> b)
        {
            return a.Value.CompareTo(b.Value);
        }
    }
}

Thanks !

andrew