LCM of 231 and 237
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 231 and 237 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 18249 as output. Here you can check the answer for Find the LCM of 231 and 237.
What is LCM of 231 and 237
Given Numbers are 231, 237
We can find the LCM of 231, 237 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 231 and 237
Multiples of 231 =231,462,693,924,1155,1386,1617,1848,2079,2310,2541,2772,3003,3234,3465,3696,3927,
Multiples of 237 =237,474,711,948,1185,1422,1659,1896,2133,2370,2607,2844,3081,3318,3555,3792,4029,
Now, get the least common multiple of 231, 237 which is 18249
So, the LCM of 231, 237 is 18249.
Least Common Multiple (LCM) of 231 and 237 with the help of Prime Factorisation
One method for determining the LCM of 231 and 237 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 231's prime factorization:
| 3 | 231 |
| 7 | 77 |
| 11 | 11 |
| 1 |
Prime factors of 231 are 3, 7,11.
231 = 31×71×111
And this is 237's prime factorization:
| 3 | 237 |
| 79 | 79 |
| 1 |
Prime factors of 237 are 3,79.
237 = 31×791
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, 7,11,79
.31×71×111×791 = 18249
This shows that the LCM of 231 and 237 is 18249.
How to Calculate the LCM of 231 and 237 Using Common Multiples
The first step in determining the Least Common Multiple of 231 and 237 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 231 and 237:
Lets look at the first ten multiples of these numbers, 231 and 237:
231,462,693,924,1155,1386,1617,1848,2079,3927 are the first ten multiples of 231.
237,474,711,948,1185,1422,1659,1896,2133,4029 are the first ten multiples of 237.
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 231 and 237, for example, are 2772, 3927, and 3792. 18249 is the least common multiple since it is the smallest.
231 and 237 have an LCM of 18249.
Least Common Multiple of 231 and 237 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 231 and 237, than apply into the LCM equation.
GCF(231,237) = 3
LCM(231,237) = ( 231 × 237) / 3
LCM(231,237) = 54747 / 3
LCM(231,237) = 18249
Related Least Common Multiples of 231
Related Least Common Multiples of 237
Frequently Asked Questions on LCM of 231 and 237
1. What is the LCM of 231 and 237?
The LCM of 231 and 237 is 18249.
2. How to find the lowest common multiple of 231 and 237?
To find the lowest common multiple of 231 and 237, we have to get the multip;es of both numbers and identify the least common multiple in them which is 18249.
3. What are the Factors of 231?
Answer: Factors of 231 are 1, 3, 7, 11, 21, 33, 77, 231. There are 8 integers that are factors of 231. The greatest factor of 231 is 231.
4. What are the Factors of 237?
Answer: Factors of 237 are 1, 3, 79, 237. There are 4 integers that are factors of 237. The greatest factor of 237 is 237.
5. How to Find the LCM of 231 and 237?Answer:
Least Common Multiple of 231 and 237 = 18249
Step 1: Find the prime factorization of 231
231 = 3 x 7 x 11
Step 2: Find the prime factorization of 237
237 = 3 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18249 = 3 x 7 x 11 x 79
Step 4: Therefore, the least common multiple of 231 and 237 is 18249.