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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 136,565,815 ?

Given numbers are 136,565,815

We can find the LCD of numbers 136,565,815 by the prime factorization method or by applying the LCD formula.

The LCD of 136,565,815 is 12524920.


Method to Find Least Common Denominator of 136,565,815 with Prime Factorization

5 136, 565, 815
136, 113, 163

As you can see, now we have to multiply the prime numbers on the left side with the co-primes at the bottom.
5 x 136 x 113 x 163 = 12524920

Thus, we have determined that the LCD of 136,565,815 is 12524920

LCD Formula to Find LCD of 136,565,815

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


Step1:

Find the GCF of 136 and 565. To find the GCF, list down the factors of 136 and 565 and select the highest factor that appears in both lists of factors.

136 : [1, 2, 4, 8, 17, 34, 68, 136]

565 : [1, 5, 113, 565]

From this, we can see that the GCF of 136 and 565 is 1.

Now, put this into the LCD formula.

LCD(136, 565) = ( 136 x 565 ) / 1

LCD(136, 565) = 76840 / 1

LCD(136, 565) = 76840


Step2:

Find the GCF of 76840 and 815. To find the GCF, list down the factors of 76840 and 815 and select the highest factor that appears in both lists of factors.

76840 : [1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 113, 136, 170, 226, 340, 452, 565, 680, 904, 1130, 1921, 2260, 3842, 4520, 7684, 9605, 15368, 19210, 38420, 76840]

815 : [1, 5, 163, 815]

From this, we can see that the GCF of 76840 and 815 is 5.

Now, put this into the LCD formula.

LCD(76840, 815) = ( 76840 x 815 ) / 5

LCD(76840, 815) = 62624600 / 5

LCD(76840, 815) = 12524920

LCD of 136,565,815 is 12524920

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 .