Lowest Common Denominator (LCD) of 87/56 and 31/41

So you wanna find the lowest common denominator of 87/56 and 31/41? Lucky for you that's exactly what this page is here to help you with! In this quick guide, we'll walk you through how to calculate the lowest common denominator for any fractions you need to check. Here we go!

In a rush and just want the answer? No worries! The LCD of 87/56 and 31/41 is 2296. In fraction form it's 1/2296.

LCD(87/56, 31/41) = 2296

In fraction form:

1 / 2296

Read on to find out how we worked that out!

As we always do in these articles, it's worth a very quick recap on fraction terminology. The number above the line is called the numerator and the number about the line is called the denominator. So, in this example, our numerators are 87 and 31, while our denominators are 56 and 41.

What is the Lowest Common Denominator?

To calculate the lowest common denominator, the easiest way is to look at the factors of those numbers and find the lowest common multiple. Here's how that looks for 56 and 41:

  • Factors for 56: 1, 2, 4, 7, 8, 14, 28, and 56
  • Factors for 41: 1 and 41

Since there are no common factors in 56 and 41, the easiest way to get the lowest common denominator is to multiply them:

56 x 41 = 2296

The next step is to calculate the numerator and complete our fraction. To do this, we need to find the greatest common factor of the numerators, which are 87 and 31.

  • Factors for 87: 1, 3, 29, and 87
  • Factors for 31: 1 and 31

As we can see, the greatest common factor between the numerators is 1, so this becomes our numerator in the fraction:

1 / 2296

Hopefully this article has helped you to understand how to calculate the lowest common denominator of two fractions. Isn't math fun? If you want to challenge yourself, try to work out the least common denominator of some fractions by yourself and use our LCD calculator to check your answers!