Lowest Common Denominator (LCD) of 97/60 and 82/97

So you wanna find the lowest common denominator of 97/60 and 82/97? 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 97/60 and 82/97 is 5820. In fraction form it's 1/5820.

LCD(97/60, 82/97) = 5820

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 97 and 82, while our denominators are 60 and 97.

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 60 and 97:

• Factors for 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60
• Factors for 97: 1 and 97

Since there are no common factors in 60 and 97, the easiest way to get the lowest common denominator is to multiply them:

60 x 97 = 5820

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 97 and 82.

• Factors for 97: 1 and 97
• Factors for 82: 1, 2, 41, and 82

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!

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