Least Common Multiple Calculator

Steps for Calculation

1. Input Numbers: The user enters two positive numbers (A and B) into the input fields.
2. Validation: The calculator checks if the inputs are valid (positive numbers).
3. Calculate GCD: The greatest common divisor (GCD) of the two numbers is calculated using the Euclidean algorithm.
4. Calculate LCM: The LCM is calculated using the formula:LCM(A,B)=A×BGCD(A,B)LCM(A,B)=GCD(A,B)A×B​
5. Display Result: The LCM of the two numbers is displayed.

Detailed Description for the User

1. What is the Least Common Multiple (LCM)?
   • The LCM of two numbers is the smallest positive integer that is divisible by both numbers. For example, the LCM of 12 and 18 is 36 because 36 is the smallest number that both 12 and 18 divide into evenly.
2. How to Use the Calculator
   • Enter the first number (A) in the "Enter First Number" field.
   • Enter the second number (B) in the "Enter Second Number" field.
   • Click the "Calculate LCM" button to see the result.
3. Example
   • If you enter 12 for the first number and 18 for the second number, the calculator will display 36 as the LCM.
4. Why Use LCM?
   • LCM is useful in solving problems involving fractions, scheduling, and finding common denominators.
5. Important Notes
   • Ensure both numbers are positive and greater than zero.
   • If you enter invalid inputs (e.g., negative numbers or text), the calculator will prompt you to enter valid numbers.