Lowest Common Denominator (LCD) of 21/41 and 22/32

So you wanna find the lowest common denominator of 21/41 and 22/32? 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 21/41 and 22/32 is 1312. In fraction form it's 1/1312.

LCD(21/41, 22/32) = 1312

In fraction form:

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 21 and 22, while our denominators are 41 and 32.

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 41 and 32:

• Factors for 41: 1 and 41
• Factors for 32: 1, 2, 4, 8, 16, and 32

Since there are no common factors in 41 and 32, the easiest way to get the lowest common denominator is to multiply them:

41 x 32 = 1312

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 21 and 22.

• Factors for 21: 1, 3, 7, and 21
• Factors for 22: 1, 2, 11, and 22

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

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!

Cite, Link, or Reference This Page

If you found this content useful in your research, please do us a great favor and use the tool below to make sure you properly reference us wherever you use it. We really appreciate your support!