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Least Common Multiple Calculator



LCM of two Numbers


Note
  • Enter the values of the two numbers whose LCM need to be calculated
  • Click on the calculate button.
Formula used
$LCM=\frac{a \times b}{Gcf(a,b)}$

LCM Calculator


Example of Few questions where you can use this formula
  • Find the LCM of 25 and 625
  • Find the LCM of 14 and 700

What is Least Common Multiple

  • Least Common Multiple or LCM of two numbers a nd b is the smallest postive integer which is evenly divisible by the numbers a and b. It is called lowest common multiple or Lowest common divisible.
  • LCM can be obtained using prime fractorization technique. Here we find the LCM using the below Formula
    LCM (a,b) = \frac { HCF(a,b)}{a \times b}

How the LCM calculator works

  • First we need to input the two positive integers whose LCM is required to be calculated
  • Now HCF of a and b is calculated using Euclid Division Lemma
  • Now the LCM is obtained using the formula
    LCM (a,b) = \frac { HCF(a,b)}{a \times b}

LCM of more than two Numbers


Note
  • Enter the values of the more than 2 numbers seperated by commas whose gcf need to be calculated Example 2,3,4
  • Click on the calculate button.

Formula used
$ LCM(a,b,c,d) = LCM(LCM(LCM(a,b),c),d)$

LCM Calculator


Example of Few questions where you can use this formula
  • Find the LCM of 12,8,16,32
  • Find the LCM of 3,8,18,36

How the LCM calculator works

  • First we need to input the positive integers whose LCM is required to be calculated
  • Now first we calculate the LCM of first two values using the formula
    LCM (a,b) = \frac { HCF(a,b)}{a \times b}
  • Now the LCM obtained and third number is taken and LCM is again obtained using the same technique.
  • We keep doing until all numbers are absorbed, final LCM is obtained

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