LCM of 453 and 459
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 453 and 459 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 69309 as output. Here you can check the answer for Find the LCM of 453 and 459.
What is LCM of 453 and 459
Given Numbers are 453, 459
We can find the LCM of 453, 459 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 453 and 459
Multiples of 453 =453,906,1359,1812,2265,2718,3171,3624,4077,4530,4983,5436,5889,6342,6795,7248,7701,
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 453, 459 which is 69309
So, the LCM of 453, 459 is 69309.
Least Common Multiple (LCM) of 453 and 459 with the help of Prime Factorisation
One method for determining the LCM of 453 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 453's prime factorization:
| 3 | 453 |
| 151 | 151 |
| 1 |
Prime factors of 453 are 3,151.
453 = 31×1511
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: 3,151,17
.33×171×1511 = 69309
This shows that the LCM of 453 and 459 is 69309.
How to Calculate the LCM of 453 and 459 Using Common Multiples
The first step in determining the Least Common Multiple of 453 and 459 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 453 and 459:
Lets look at the first ten multiples of these numbers, 453 and 459:
453,906,1359,1812,2265,2718,3171,3624,4077,7701 are the first ten multiples of 453.
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 453 and 459, for example, are 5436, 7701, and 7344. 69309 is the least common multiple since it is the smallest.
453 and 459 have an LCM of 69309.
Least Common Multiple of 453 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 453 and 459, than apply into the LCM equation.
GCF(453,459) = 3
LCM(453,459) = ( 453 × 459) / 3
LCM(453,459) = 207927 / 3
LCM(453,459) = 69309
Related Least Common Multiples of 453
Related Least Common Multiples of 459
Frequently Asked Questions on LCM of 453 and 459
1. What is the LCM of 453 and 459?
The LCM of 453 and 459 is 69309.
2. How to find the lowest common multiple of 453 and 459?
To find the lowest common multiple of 453 and 459, we have to get the multip;es of both numbers and identify the least common multiple in them which is 69309.
3. What are the Factors of 453?
Answer: Factors of 453 are 1, 3, 151, 453. There are 4 integers that are factors of 453. The greatest factor of 453 is 453.
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 453 and 459?Answer:
Least Common Multiple of 453 and 459 = 69309
Step 1: Find the prime factorization of 453
453 = 3 x 151
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 = 69309 = 3 x 3 x 3 x 17 x 151
Step 4: Therefore, the least common multiple of 453 and 459 is 69309.