How the “Least Common Multiple (LCM) Calculator” Works

Input your values: Enter two or more numbers separated by spaces into the input field. You can input numbers such as whole numbers, integers, etc. Example: “13 22 66”.

Click “Calculate”: After inputting the numbers, click the “Calculate” button. The calculator will then determine the LCM based on the entered numbers.

View the result: The Least Common Multiple (LCM) will be displayed below the input field, showing you the result.

Reset the form: You can reset the input and output fields by clicking the “Clear” button to start a new calculation.
Example Calculation:
If you input the numbers 13, 22, and 66, the calculator will process them as follows:

Step 1 – Prime Factorization:
 13 is a prime number: 13 = 13.
 22 is not a prime number: 22 = 2 × 11.
 66 is not a prime number: 66 = 2 × 3 × 11.

Step 2 – Find the LCM:
 To find the LCM, we take the highest powers of all prime factors: $\text{LCM}(13, 22, 66) = 2^1 \times 3^1 \times 11^1 \times 13^1 = 858$

Final Result: The LCM of 13, 22, and 66 is 858.
Formula:
The formula for calculating the LCM of two numbers a and b is:
$\text{LCM}(a, b) = \frac{a \times b}{\text{GCD}(a, b)}$
Where GCD is the greatest common divisor, which can be calculated using the Euclidean algorithm.
The calculator applies this formula iteratively when there are more than two numbers, making it suitable for larger sets of values.