# Python Program to Find the LCM of two numbers (3 Ways)

In this program, we will learn how to find the LCM of two numbers using the Python programming language.

### What is LCM?

it stands for** Least Common Multiple**. It can be found for two or more numbers by making multiple of the numbers and then choosing the least common multiple.

Let’s take the example of 3 and 4.

Multiple of 3 : 3, 6, 9, 12, 15, 18, 21, 24,…….

Multiple of 4 : 4, 8, 12, 16, 20, 24, 28,…..

So, common multiple of 3 and 4 is 12, 24 and Least Common Multiple is 12.

Hence, LCM of 3 and 4 is 12.

We will discuss three ways to write code for it.

- Using the loop
- Using the GCD or HCF
- Using the Recursion

## Python Programming Code to Find the LCM of two numbers

### Using the loop

### Code:-

num1 = int(input("Enter first number: ")) num2 = int(input("Enter second number: ")) lcm = num1 if(num1 > num2) else num2 while(True): if((lcm % num1 == 0) and (lcm % num2 == 0)): print("The L.C.M. of", num1,"and", num2,"is", lcm) break lcm += 1

### Ouput:-

Enter second number: 24

The L.C.M. of 18 and 24 is 72

### Using the GCD or HCF

### Code:-

def gcd(num1,num2): if num1%num2 == 0: # Base case return num2 else: # Iterative case return gcd(num2,num1%num2) num1 = int(input("Enter first number: ")) num2 = int(input("Enter second number: ")) lcm = (num1*num2)//gcd(num1,num2) print("The L.C.M. of", num1,"and", num2,"is", lcm)

### Output:-

Enter second number: 9

The L.C.M. of 6 and 9 is 18

### Using the Recursion

### Code:-

def lcm(x, y): lcm.multiple += y if((lcm.multiple % x == 0) and (lcm.multiple % y == 0)): return lcm.multiple else: return lcm(x, y) lcm.multiple = 0 num1 = int(input("Enter first number: ")) num2 = int(input("Enter second number: ")) if num1 > num2: lcm = lcm(num2, num1) else: lcm = lcm(num1, num2) print("The L.C.M. of", num1,"and", num2,"is", lcm)

### Output:-

Enter second number: 55

The L.C.M. of 65 and 55 is 715

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#### Amit Rawat

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