LCM of 452 and 459
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 452 and 459 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 207468 as output. Here you can check the answer for Find the LCM of 452 and 459.
What is LCM of 452 and 459
Given Numbers are 452, 459
We can find the LCM of 452, 459 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 452 and 459
Multiples of 452 =452,904,1356,1808,2260,2712,3164,3616,4068,4520,4972,5424,5876,6328,6780,7232,7684,
Multiples of 459 =459,918,1377,1836,2295,2754,3213,3672,4131,4590,5049,5508,5967,6426,6885,7344,7803,
Now, get the least common multiple of 452, 459 which is 207468
So, the LCM of 452, 459 is 207468.
Least Common Multiple (LCM) of 452 and 459 with the help of Prime Factorisation
One method for determining the LCM of 452 and 459 is to compare the prime factorization of each number. You can find the prime factorization for each number by following the instructions below:
Here is 452's prime factorization:
| 2 | 452 |
| 2 | 226 |
| 113 | 113 |
| 1 |
Prime factors of 452 are 2,113.
452 = 22×1131
And this is 459's prime factorization:
| 3 | 459 |
| 3 | 153 |
| 3 | 51 |
| 17 | 17 |
| 1 |
Prime factors of 459 are 3,17.
459 = 33×171
When comparing the prime factorization of these two numbers, look for the highest power to which each prime factor is raised. In this case, the following primary factors must be considered: 2,113, 3,17
.22×33×171×1131 = 207468
This shows that the LCM of 452 and 459 is 207468.
How to Calculate the LCM of 452 and 459 Using Common Multiples
The first step in determining the Least Common Multiple of 452 and 459 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 452 and 459:
Lets look at the first ten multiples of these numbers, 452 and 459:
452,904,1356,1808,2260,2712,3164,3616,4068,7684 are the first ten multiples of 452.
459,918,1377,1836,2295,2754,3213,3672,4131,7803 are the first ten multiples of 459.
You can continue to list the multiples of these numbers until you find a match. Once you have found a match, or several matches, the Least Common Multiple is the smallest of these matches. The first matching multiple(s) of 452 and 459, for example, are 5424, 7684, and 7344. 207468 is the least common multiple since it is the smallest.
452 and 459 have an LCM of 207468.
Least Common Multiple of 452 and 459 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 452 and 459, than apply into the LCM equation.
GCF(452,459) = 1
LCM(452,459) = ( 452 × 459) / 1
LCM(452,459) = 207468 / 1
LCM(452,459) = 207468
Related Least Common Multiples of 452
Related Least Common Multiples of 459
Frequently Asked Questions on LCM of 452 and 459
1. What is the LCM of 452 and 459?
The LCM of 452 and 459 is 207468.
2. How to find the lowest common multiple of 452 and 459?
To find the lowest common multiple of 452 and 459, we have to get the multip;es of both numbers and identify the least common multiple in them which is 207468.
3. What are the Factors of 452?
Answer: Factors of 452 are 1, 2, 4, 113, 226, 452. There are 6 integers that are factors of 452. The greatest factor of 452 is 452.
4. What are the Factors of 459?
Answer: Factors of 459 are 1, 3, 9, 17, 27, 51, 153, 459. There are 8 integers that are factors of 459. The greatest factor of 459 is 459.
5. How to Find the LCM of 452 and 459?Answer:
Least Common Multiple of 452 and 459 = 207468
Step 1: Find the prime factorization of 452
452 = 2 x 2 x 113
Step 2: Find the prime factorization of 459
459 = 3 x 3 x 3 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 207468 = 2 x 2 x 3 x 3 x 3 x 17 x 113
Step 4: Therefore, the least common multiple of 452 and 459 is 207468.