LCM of 429 and 433
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 429 and 433 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 185757 as output. Here you can check the answer for Find the LCM of 429 and 433.
What is LCM of 429 and 433
Given Numbers are 429, 433
We can find the LCM of 429, 433 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 429 and 433
Multiples of 429 =429,858,1287,1716,2145,2574,3003,3432,3861,4290,4719,5148,5577,6006,6435,6864,7293,
Multiples of 433 =433,866,1299,1732,2165,2598,3031,3464,3897,4330,4763,5196,5629,6062,6495,6928,7361,
Now, get the least common multiple of 429, 433 which is 185757
So, the LCM of 429, 433 is 185757.
Least Common Multiple (LCM) of 429 and 433 with the help of Prime Factorisation
One method for determining the LCM of 429 and 433 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 429's prime factorization:
| 3 | 429 |
| 11 | 143 |
| 13 | 13 |
| 1 |
Prime factors of 429 are 3, 11,13.
429 = 31×111×131
And this is 433's prime factorization:
| 433 | 433 |
| 1 |
Prime factors of 433 are 433.
433 = 4331
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, 11,13,433
.31×111×131×4331 = 185757
This shows that the LCM of 429 and 433 is 185757.
How to Calculate the LCM of 429 and 433 Using Common Multiples
The first step in determining the Least Common Multiple of 429 and 433 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 429 and 433:
Lets look at the first ten multiples of these numbers, 429 and 433:
429,858,1287,1716,2145,2574,3003,3432,3861,7293 are the first ten multiples of 429.
433,866,1299,1732,2165,2598,3031,3464,3897,7361 are the first ten multiples of 433.
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 429 and 433, for example, are 5148, 7293, and 6928. 185757 is the least common multiple since it is the smallest.
429 and 433 have an LCM of 185757.
Least Common Multiple of 429 and 433 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 429 and 433, than apply into the LCM equation.
GCF(429,433) = 1
LCM(429,433) = ( 429 × 433) / 1
LCM(429,433) = 185757 / 1
LCM(429,433) = 185757
Related Least Common Multiples of 429
Related Least Common Multiples of 433
Frequently Asked Questions on LCM of 429 and 433
1. What is the LCM of 429 and 433?
The LCM of 429 and 433 is 185757.
2. How to find the lowest common multiple of 429 and 433?
To find the lowest common multiple of 429 and 433, we have to get the multip;es of both numbers and identify the least common multiple in them which is 185757.
3. What are the Factors of 429?
Answer: Factors of 429 are 1, 3, 11, 13, 33, 39, 143, 429. There are 8 integers that are factors of 429. The greatest factor of 429 is 429.
4. What are the Factors of 433?
Answer: Factors of 433 are 1, 433. There are 2 integers that are factors of 433. The greatest factor of 433 is 433.
5. How to Find the LCM of 429 and 433?Answer:
Least Common Multiple of 429 and 433 = 185757
Step 1: Find the prime factorization of 429
429 = 3 x 11 x 13
Step 2: Find the prime factorization of 433
433 = 433
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 185757 = 3 x 11 x 13 x 433
Step 4: Therefore, the least common multiple of 429 and 433 is 185757.