LCD Calculator for Fractions

The least common denominator (LCD) is a key concept in fractions. It is the smallest positive integer divisible by the denominators of several fractions, allowing them to be expressed with a common denominator. This is necessary for adding and subtracting fractions with different denominators.

The calculator below takes in the denominators of multiple fractions and calculates the least common denominator.

Least Common Denominator

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Denominators

	Number
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Calculate

Least Common Denominator

 

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The LCD calculation

If you prefer to find the LCD manually, there is a simple algorithm to do it:

1. Find the maximum denominator.
2. Check if you can perform integer division of this denominator by each other denominator.
3. If you can, then you have found the answer - you've got your least common denominator.
4. If you can't, multiply maximum denominator by 2.
5. Check if you can perform integer division of this number by each other denominator.
6. If you can, then you have found the answer - you've got your least common denominator.
7. If you can't, multiply maximum denominator by 3.
8. Check if you can perform integer division of this number by each other denominator.
9. If you can, then you have found the answer - you've got your least common denominator.
10. If you can't, multiply maximum denominator by 4, etc...