Java Program to Find LCM of Two Numbers - The Coding Shala

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 Hey there, welcome back to another post. In this post, we will learn how to find the LCM of two numbers in Java.

Java Program to Find LCM of Two Numbers

The LCM (Least Common Multiple) is the smallest number that can be divided by both numbers. For example, the LCM of 5 and 10 is 10 because 10 is the smallest number that is divisible by both 5 and 10.

Example 1: 

Input
Number1: 8
Number2: 10

Output
LCM of 8 and 10 is: 40

Find LCM of Two Numbers using GCD

We can find the LCM of two numbers by using GCD. The relation between LCM and GCD is: 

   a x b = LCM(a, b) * GCD (a, b)

   LCM(a, b) = (a x b) / GCD(a, b)

For example, LCM(8, 10) is:

LCM(8, 10) = ( 8 * 10) / GCD(8,10)

LCM(8, 10) = 80 / 2 = 40

Java Program: 

import java.util.Scanner;

/**
 * https://www.thecodingshala.com/
 */

public class Main {

    public static int findGCD(int num1, int num2) {
        if (num1 == 0) {
            return num2;
        }

        if (num2 == 0) {
            return num1;
        }

        while (num1 != num2) {
            if (num1 > num2) {
                num1 = num1 - num2;
            } else {
                num2 = num2 - num1;
            }
        }

        return num1;
    }

    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        System.out.println("Enter first number");
        int num1 = sc.nextInt();
        System.out.println("Enter second number");
        int num2 = sc.nextInt();

        int gcd = findGCD(num1, num2);
        int lcm = (num1 * num2) / gcd;
        System.out.println("LCM of " + num1 + " and " + num2 + " is: " + lcm);
    }
}

Output: 

Enter first number
15
Enter second number
25
LCM of 15 and 25 is: 75

Find LCM of Two Number using Java for Loop

We can find the LCM of two numbers using Java for Loop. 

Java Program: 

import java.util.Scanner;

/**
 * https://www.thecodingshala.com/
 */

public class Main {

    public static int findLCM(int num1, int num2) {
        int max = Math.max(num1, num2);
        int lcm;
        for (lcm = max; lcm <= num1 * num2; lcm = lcm + max) {
            if (lcm%num1 == 0 && lcm%num2 == 0) {
                break;
            }
        }
        return lcm;
    }

    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        System.out.println("Enter first number");
        int num1 = sc.nextInt();
        System.out.println("Enter second number");
        int num2 = sc.nextInt();

        int lcm = findLCM(num1, num2);
        System.out.println("LCM of " + num1 + " and " + num2 + " is: " + lcm);
    }
}

Output: 

Enter first number
15
Enter second number
25
LCM of 15 and 25 is: 75

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