LCM of 423 and 431
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 423 and 431 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 182313 as output. Here you can check the answer for Find the LCM of 423 and 431.
What is LCM of 423 and 431
Given Numbers are 423, 431
We can find the LCM of 423, 431 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 423 and 431
Multiples of 423 =423,846,1269,1692,2115,2538,2961,3384,3807,4230,4653,5076,5499,5922,6345,6768,7191,
Multiples of 431 =431,862,1293,1724,2155,2586,3017,3448,3879,4310,4741,5172,5603,6034,6465,6896,7327,
Now, get the least common multiple of 423, 431 which is 182313
So, the LCM of 423, 431 is 182313.
Least Common Multiple (LCM) of 423 and 431 with the help of Prime Factorisation
One method for determining the LCM of 423 and 431 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 423's prime factorization:
| 3 | 423 |
| 3 | 141 |
| 47 | 47 |
| 1 |
Prime factors of 423 are 3,47.
423 = 32×471
And this is 431's prime factorization:
| 431 | 431 |
| 1 |
Prime factors of 431 are 431.
431 = 4311
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: 3,47,431
.32×471×4311 = 182313
This shows that the LCM of 423 and 431 is 182313.
How to Calculate the LCM of 423 and 431 Using Common Multiples
The first step in determining the Least Common Multiple of 423 and 431 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 423 and 431:
Lets look at the first ten multiples of these numbers, 423 and 431:
423,846,1269,1692,2115,2538,2961,3384,3807,7191 are the first ten multiples of 423.
431,862,1293,1724,2155,2586,3017,3448,3879,7327 are the first ten multiples of 431.
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 423 and 431, for example, are 5076, 7191, and 6896. 182313 is the least common multiple since it is the smallest.
423 and 431 have an LCM of 182313.
Least Common Multiple of 423 and 431 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 423 and 431, than apply into the LCM equation.
GCF(423,431) = 1
LCM(423,431) = ( 423 × 431) / 1
LCM(423,431) = 182313 / 1
LCM(423,431) = 182313
Related Least Common Multiples of 423
Related Least Common Multiples of 431
Frequently Asked Questions on LCM of 423 and 431
1. What is the LCM of 423 and 431?
The LCM of 423 and 431 is 182313.
2. How to find the lowest common multiple of 423 and 431?
To find the lowest common multiple of 423 and 431, we have to get the multip;es of both numbers and identify the least common multiple in them which is 182313.
3. What are the Factors of 423?
Answer: Factors of 423 are 1, 3, 9, 47, 141, 423. There are 6 integers that are factors of 423. The greatest factor of 423 is 423.
4. What are the Factors of 431?
Answer: Factors of 431 are 1, 431. There are 2 integers that are factors of 431. The greatest factor of 431 is 431.
5. How to Find the LCM of 423 and 431?Answer:
Least Common Multiple of 423 and 431 = 182313
Step 1: Find the prime factorization of 423
423 = 3 x 3 x 47
Step 2: Find the prime factorization of 431
431 = 431
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 182313 = 3 x 3 x 47 x 431
Step 4: Therefore, the least common multiple of 423 and 431 is 182313.