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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 109,303,844 ?

Given numbers are 109,303,844

We can find the LCD of numbers 109,303,844 by the prime factorization method or by applying the LCD formula.

The LCD of 109,303,844 is 27874788.


Method to Find Least Common Denominator of 109,303,844 with Prime Factorization

Given numbers has no common factors except 1. So, there LCD is their product i.e 27874788

LCD Formula to Find LCD of 109,303,844

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


Step1:

Find the GCF of 109 and 303. To find the GCF, list down the factors of 109 and 303 and select the highest factor that appears in both lists of factors.

109 : [1, 109]

303 : [1, 3, 101, 303]

From this, we can see that the GCF of 109 and 303 is 1.

Now, put this into the LCD formula.

LCD(109, 303) = ( 109 x 303 ) / 1

LCD(109, 303) = 33027 / 1

LCD(109, 303) = 33027


Step2:

Find the GCF of 33027 and 844. To find the GCF, list down the factors of 33027 and 844 and select the highest factor that appears in both lists of factors.

33027 : [1, 3, 101, 109, 303, 327, 11009, 33027]

844 : [1, 2, 4, 211, 422, 844]

From this, we can see that the GCF of 33027 and 844 is 1.

Now, put this into the LCD formula.

LCD(33027, 844) = ( 33027 x 844 ) / 1

LCD(33027, 844) = 27874788 / 1

LCD(33027, 844) = 27874788

LCD of 109,303,844 is 27874788

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 .