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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 553,132,739 ?

Given numbers are 553,132,739

We can find the LCD of numbers 553,132,739 by the prime factorization method or by applying the LCD formula.

The LCD of 553,132,739 is 53944044.


Method to Find Least Common Denominator of 553,132,739 with Prime Factorization

Given numbers has no common factors except 1. So, there LCD is their product i.e 53944044

LCD Formula to Find LCD of 553,132,739

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


Step1:

Find the GCF of 553 and 132. To find the GCF, list down the factors of 553 and 132 and select the highest factor that appears in both lists of factors.

553 : [1, 7, 79, 553]

132 : [1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132]

From this, we can see that the GCF of 553 and 132 is 1.

Now, put this into the LCD formula.

LCD(553, 132) = ( 553 x 132 ) / 1

LCD(553, 132) = 72996 / 1

LCD(553, 132) = 72996


Step2:

Find the GCF of 72996 and 739. To find the GCF, list down the factors of 72996 and 739 and select the highest factor that appears in both lists of factors.

72996 : [1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 79, 84, 132, 154, 158, 231, 237, 308, 316, 462, 474, 553, 869, 924, 948, 1106, 1659, 1738, 2212, 2607, 3318, 3476, 5214, 6083, 6636, 10428, 12166, 18249, 24332, 36498, 72996]

739 : [1, 739]

From this, we can see that the GCF of 72996 and 739 is 1.

Now, put this into the LCD formula.

LCD(72996, 739) = ( 72996 x 739 ) / 1

LCD(72996, 739) = 53944044 / 1

LCD(72996, 739) = 53944044

LCD of 553,132,739 is 53944044

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 .