LCM Calculator | Find Least Common Multiple Easily & Step-by-Step

LCM Calculator

What is LCM (Least Common Multiple)?

The Least Common Multiple (LCM) of two or more numbers is the smallest number that is a multiple of all the given numbers. It is widely used in mathematics to solve problems related to fractions, ratios, and scheduling. Our LCM Calculator above makes it easy to find the LCM instantly by entering numbers separated by commas.

How to Find LCM Using Our Calculator?

Using our LCM Calculator is simple and efficient:

  • Enter the numbers you want to find the LCM for in the input box (e.g., 6, 8, 12).
  • Separate each number with a comma.
  • Click the "Calculate LCM" button to get the result instantly.
  • The calculator shows the step-by-step process using both the Prime Factorization and Division methods.

Methods to Calculate LCM

There are two primary methods to calculate the LCM of numbers:

  • Prime Factorization Method: Break down each number into its prime factors, take the highest power of each prime factor, and multiply them to get the LCM.
  • Division Method: Divide the numbers by the smallest prime number that divides at least one of them, repeat until no further division is possible, and multiply all divisors.

Our calculator demonstrates both methods with detailed steps to help you understand the process better.

Why Use Our LCM Calculator?

Whether you're a student preparing for exams like NCERT, JAC Board, or JCERT, or a teacher explaining concepts to your class, our LCM Calculator is designed to save time and provide accurate results. It’s perfect for:

  • Solving math problems quickly.
  • Learning the step-by-step process of finding LCM.
  • Verifying your manual calculations.

Example of Finding LCM

Let’s find the LCM of 12 and 18:

  • Prime factors of 12: 2 × 2 × 3
  • Prime factors of 18: 2 × 3 × 3
  • Highest powers: 2² (from 12) × 3² (from 18)
  • LCM = 2² × 3² = 4 × 9 = 36

Try this example in our calculator above to see the detailed steps!

Boost Your Math Skills with LCM and HCF

Understanding LCM is essential for mastering topics like fractions, HCF (Highest Common Factor), and number theory. Explore more math tools and solutions on our website to enhance your skills for classes 6 to 10. Visit our HCF Calculator for more resources.