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.
Given numbers are 23,452,969
We can find the LCD of numbers 23,452,969 by the prime factorization method or by applying the LCD formula.
The LCD of 23,452,969 is 10073724.
Given numbers has no common factors except 1. So, there LCD is their product i.e 10073724
The LCD formula is LCD(a,b) = ( a x b) / GCF(a,b)
Step1:
Find the GCF of 23 and 452. To find the GCF, list down the factors of 23 and 452 and select the highest factor that appears in both lists of factors.
23 : [1, 23]
452 : [1, 2, 4, 113, 226, 452]
From this, we can see that the GCF of 23 and 452 is 1.
Now, put this into the LCD formula.
LCD(23, 452) = ( 23 x 452 ) / 1
LCD(23, 452) = 10396 / 1
LCD(23, 452) = 10396
Step2:
Find the GCF of 10396 and 969. To find the GCF, list down the factors of 10396 and 969 and select the highest factor that appears in both lists of factors.
10396 : [1, 2, 4, 23, 46, 92, 113, 226, 452, 2599, 5198, 10396]
969 : [1, 3, 17, 19, 51, 57, 323, 969]
From this, we can see that the GCF of 10396 and 969 is 1.
Now, put this into the LCD formula.
LCD(10396, 969) = ( 10396 x 969 ) / 1
LCD(10396, 969) = 10073724 / 1
LCD(10396, 969) = 10073724
LCD of 23,452,969 is 10073724
Here are some samples of LCD of Numbers calculations.
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 .