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LCD of Calculator

Created By : Jatin Gogia
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Read this article to figure out how to calculate the lowest common denominator of . Learn the two different methods that you can use to find the LCD: the prime factorization method and the LCD formula method. We will explain both these methods in detail so stick around until the very end to understand. Utilise our free LCD Calculator to avail the LCD of numbers easily.

 

LCD of

How to Find LCD of 821,216,125 ?

Given numbers are 821,216,125

We can find the LCD of numbers 821,216,125 by the prime factorization method or by applying the LCD formula.

The LCD of 821,216,125 is 22167000.


Method to Find Least Common Denominator of 821,216,125 with Prime Factorization

Given numbers has no common factors except 1. So, there LCD is their product i.e 22167000

LCD Formula to Find LCD of 821,216,125

The LCD formula is LCD(a,b) = ( a x b) / GCF(a,b)


Step1:

Find the GCF of 821 and 216. To find the GCF, list down the factors of 821 and 216 and select the highest factor that appears in both lists of factors.

821 : [1, 821]

216 : [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216]

From this, we can see that the GCF of 821 and 216 is 1.

Now, put this into the LCD formula.

LCD(821, 216) = ( 821 x 216 ) / 1

LCD(821, 216) = 177336 / 1

LCD(821, 216) = 177336


Step2:

Find the GCF of 177336 and 125. To find the GCF, list down the factors of 177336 and 125 and select the highest factor that appears in both lists of factors.

177336 : [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 821, 1642, 2463, 3284, 4926, 6568, 7389, 9852, 14778, 19704, 22167, 29556, 44334, 59112, 88668, 177336]

125 : [1, 5, 25, 125]

From this, we can see that the GCF of 177336 and 125 is 1.

Now, put this into the LCD formula.

LCD(177336, 125) = ( 177336 x 125 ) / 1

LCD(177336, 125) = 22167000 / 1

LCD(177336, 125) = 22167000

LCD of 821,216,125 is 22167000

LCD of Numbers Calculation Examples

Frequently Asked Questions on LCD of

1. What is the LCD of ?

Answer: LCD of is .

2. How to find LCD of using prime factorization ?

Answer: Just keep dividing by prime numbers until only co-primes are left over. At that point, simply multiply the co-primes with the prime numbers on the left. The answer will be , the LCD.

3. How to Find the LCD of using LCD formula ?

Answer: The LCD formula is LCD(a,b) = ( a x b) / GCF(a,b).

You must first calculate the LCD OF and . Then, find the LCD of that answer and and so on. The answer will be , which is the LCD of .