Let’s learn java program to find LCM of two numbers.

## Java program to find lcm of two numbers

lcm of two numbers in java is one of the common interview question in java. Well, first let us understand what is LCM??

**Least Common Multiple(LCM)**

Least Common Multiple (LCM) of two numbers ‘a’ and ‘b’ is the smallest non zero positive integer that is divisible by both given numbers without remainder.

For example: LCM of 85 and 175 is 2975 and LCM of 26 and 93 is 2418.

Here in the below java program, two numbers are stored in two variables ‘num1’ and ‘num2’ seperately.

Now set integer variable ‘lcm’ to largest of two numbers. Because ‘lcm’ cannot be less than largest number.

In while loop we check if ‘lcm’ divides both ‘num1’ and ‘num2’ or not.

If both ‘num1’ and ‘num2’ divides, then ‘lcm’ is found. Else increment ‘lcm’ by 1.

Here’s lcm program in java using while loop and if statement.

public class LCMOfTwoNumbers { public static void main(String[] args) { int num1 = 85, num2 = 175, lcm; lcm = (num1 > num2) ? num1 : num2; while(true) { if(lcm % num1 == 0 && lcm % num2 == 0) { System.out.println("LCM of " + num1 + " and " + num2 + " is " + lcm + "."); break; } ++lcm; } } }

**Output:**

LCM of 85 and 175 is 2975.

To calculate lcm two numbers in java we can use GCD. Here’s the java program.

public class LCMUsingGCD { public static void main(String[] args) { int num1 = 15, num2 = 25, gcd = 1; for(int a = 1; a <= num1 && a <= num2; ++a) { if(num1 % a == 0 && num2 % a == 0) { gcd = a; } } int lcm = (num1 * num2) / gcd; System.out.println("LCM of " + num1 + " and " + num2 + " is " + lcm + "."); } }

**Output:**

LCM of 15 and 25 is 75.