In this tutorial, we will discuss a Python program to find the LCM of two given numbers.

Before going to the program first, let us understand what is Least Common Multiple (LCM).

Least Common Multiple(LCM):

• The LCM of two numbers is the smallest positive integer that is divisible by both numbers.

Related: Python Program to Find GCD of Two Numbers using the Euclidean Algorithm

Program code to find LCM of two numbers in Python

# LCM of Two Numbers in Python
def gcd(a, b):
    while b:
        a, b = b, a % b
    return a

def lcm(a, b):
    return abs(a * b) // gcd(a, b)

num1 = int(input("Enter the first number: "))
num2 = int(input("Enter the second number: "))

print(f"The LCM of {num1} and {num2} is {lcm(num1, num2)}.")

Explanation

1. Function Definitions: The gcd function finds the greatest common divisor (GCD) of two numbers using the Euclidean algorithm, and the lcm function calculates the LCM using the formula LCM(a,b)=∣a×b∣GCD(a,b)\text{LCM}(a, b) = \frac{|a \times b|}{\text{GCD}(a, b)}LCM(a,b)=GCD(a,b)∣a×b∣​.
2. Main Program: The program prompts the user to enter two numbers and then calculates the LCM using the lcm function and prints the result.

Output

• When you run the above program, it will prompt you to enter two numbers.
• After entering the numbers, it will calculate the LCM and print the result.

Conclusion

• In this tutorial, we learned how to find the LCM of two given numbers using a Python program.
• Understanding this concept is essential for solving various mathematical problems and enhancing your programming skills.