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MMC e MDC

Calculate the MMC and MDC of various numbers online for free, with factorization and step-by-step results.

Updated: July 2026

Our MMC and MDC calculator was redesigned with a single purpose: to teach you exactly the way the teacher teaches you on the school blackboard. Forget confusing tools that only spit out the end result; Here, we simulate the student's notebook step by step.

The Simultaneous Factoring Method

In Brazil, schools do not use Euclid's Algorithm to teach children. They use the "Vertical Line" (Simultaneous Factorization). Therefore, we programmed our tool to draw exactly this table on the screen!

You enter the numbers, and we draw the vertical bar, dividing line by line through the prime numbers (by 2, by 3, by 5...), until they all reach the number 1. This allows the student to not only copy the final answer, but to copy the entire math to the homework sheet.

What is MMC (Least Common Multiple)?

The MMC is the smallest number (greater than zero) that is a multiple of all numbers at the same time. On our digital whiteboard, we teach you how to find it: just take all the prime numbers that are on the right side of the vertical bar and multiply them.

What is the GCD (Greatest Common Divisor)?

The MDC is the largest number that divides all values ​​without leaving a remainder. And here is our big didactic difference: in our table, we highlight in green and circle only the prime numbers that managed to divide ALL the numbers in that row at the same time. The school rule is clear: just take these green numbers and multiply them to find the perfect MDC!

How to use the MMC and MDC Calculator

Usage is simple:

  • Enter the integer and positive numbers you want to calculate, separated by a comma or space (ex: 12, 18, 24).
  • The tool automatically calculates the MMC and MDC of all numbers entered.
  • Scroll down to see the complete simultaneous factorization table, with the prime numbers used in each line and those highlighted in green for the GCD.

It works with two, three or more numbers at the same time, so you can use the calculator for both school exercises and everyday problems.

Perguntas frequentes

What is the difference between MMC and MDC?

The LMC (least common multiple) is the smallest number that is a multiple of all values ​​at the same time. The GDC (greatest common divisor) is the largest number that divides all of them without leaving a remainder. They are opposing ideas: one seeks the smallest multiple in common, the other the largest divisor in common.

How to calculate the MMC and MDC of several numbers?

Just type the numbers separated by a space or comma and the calculator shows both results instantly. It also shows the factorization in prime factors and step by step, so you understand where each answer comes from and can check the calculation done by hand.

What are the MMC and MDC for in everyday life?

MMC helps you add fractions with different denominators and find out when two repeated events coincide again. The GCD is used to simplify fractions and to divide quantities into equal groups of the largest possible size. The two appear a lot in mathematics tests and exercises.

Does the calculator work with three or more numbers?

Yes. You can enter two, three or more values ​​at once, and the tool calculates the MMC and MDC of all of them together. Use only integers and positive numbers, which is the type of value for which MMC and GDC are defined.

Is the MMC and MDC calculator free?

Yes, use is completely free and without registration. You can calculate as many times as you want, right in the browser, without installing anything or providing personal data.

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Escrito por:
Equipe Ferramenta Grátis

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Free Online MMC and MDC Calculator