C# program to Find GCD and LCM of Two Numbers

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What is LCM?

LCM (Least common multiple) or LCD (lowest common denominator) is the smallest positive integer which is divisible by all numbers that is given to find LCM.

Example:

LCM of 8, 9, 21 is 504, Because 504 is the least common positive integer number which is divided by all given numbers i.e 8, 9, 21.

What is GCD?

GCD (Greatest common divisor) or HCF (Highest common factor) of two numbers is the largest positive integer that divides the two numbers without any remainder.

Example:

GCD (8,12) is 4 because 4 is the highest number which divides both the numbers i.e 8 and 12 completely.

Problem Statement: Calculate the GCD and LCM of two given numbers using C# Code:

using System; using System.Collections.Generic; using System.Linq; using System.Text; using System.Threading.Tasks; namespace GCD_LCM { class Program { static void Main(string[] args) { Console.WriteLine( " #The GCD and LCM of Two Numbers#\n"); /* * Input 1st Number : * then Enter * Input 2nd Number : * PRESS SUBMIT */ int x = int.Parse(Console.ReadLine()); int y = int.Parse(Console.ReadLine()); Console.WriteLine( " The GCD of Two Numbers is : "+ gcd(x, y)); Console.WriteLine( " The LCM of Two Numbers is : "+ lcm(x, y)); } static int gcd(int x, int y) { int r=0, a, b; // a is greater number a = (x > y) ? x : y; // b is smaller number b = (x < y) ? x : y; r = b; while (a % b != 0) { r = a % b; a = b; b = r; } return r; } static int lcm(int x, int y) { int a; // a is greater number a = (x > y) ? x : y; while (true) { if (a % x == 0 && a % y == 0) return a; ++a; } } } }

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