Program to Find LCM in Python. The program is having while loop, if else loop, input and print functions. This is for beginners, class 11,12 and B Tech Computer science students.

## Program to Find LCM in Python

### Lowest common multiple / Least common multiple

LCM stands for Least Common Multiple. It is a concept of arithmetic and number system. The LCM of two integers a and b is denoted by LCM (a,b). It is the smallest positive integer that is divisible by both “a” and “b”.

Example- LCM of 4 and 6**Multiples of 4 are:**

4, 8, 12, 16, 20, 24, 28, 32, 36,… **and** so on… **Multiples of 6 are:**

6, 12, 18, 24, 30, 36, 42,… **and** so on…. **Common multiples of 4 and 6 are simply the numbers that are in both lists:**

12, 24, 36, 48, 60, 72,…. **and** so on….

LCM is the lowest common multiplier so it is 12.

Since, we have understood the basic concept of the LCM, let us consider the following program to find the LCM of given integers.

### Source code : Program to Find LCM in Python

```
# defining a function to calculate LCM
def calculate_lcm(x, y):
# selecting the greater number
if x > y:
greater = x
else:
greater = y
while(True):
if((greater % x == 0) and (greater % y == 0)):
lcm = greater
break
greater += 1
return lcm
# taking input from users
num1 = int(input("Enter first number: "))
num2 = int(input("Enter second number: "))
# printing the result for the users
print("The L.C.M. of", num1,"and", num2,"is", calculate_lcm(num1, num2))
```

### Download Source code : For Download Click on the below Button

### Source code explanation:

**Step 1: Function calculate_lcm(x,y) : is defined. If condition is applied and while loop is applied.**

def calculate_lcm(x, y):

# selecting the greater number

if x > y:

greater = x

else:

greater = y

while(True):

if((greater % x == 0) and (greater % y == 0)):

lcm = greater

break

greater += 1

return lcm **Step 2 : Input is taken.**

num1 = int(input(“Enter first number: “))

num2 = int(input(“Enter second number: “))**Step 3 :LCM function is calculated in print statement:**

print(“The L.C.M. of”, num1,”and”, num2,”is”, calculate_lcm(num1, num2))

### Output :

Python 3.7.4 (tags/v3.7.4:e09359112e, Jul 8 2019, 19:29:22) [MSC v.1916 32 bit (Intel)] on win32 Type "help", "copyright", "credits" or "license()" for more information. >>> RESTART: C:/Users/ARCHIT/AppData/Local/Programs/Python/Python37-32/test1.py Enter first number: 25 Enter second number: 12 The L.C.M. of 25 and 12 is 300 >>> RESTART: C:/Users/ARCHIT/AppData/Local/Programs/Python/Python37-32/test1.py Enter first number: 4 Enter second number: 6 The L.C.M. of 4 and 6 is 12 >>>

### Output Explanation:

The two numbers whose LCM is to be calculated is feed.**Enter first number: 25**

Enter second number: 12

LCM of numbers is calculated and printed.**The L.C.M. of 25 and 12 is 300**

### Conclusion:

The program is running fine.

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