LCM of 257 and 261
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 257 and 261 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 67077 as output. Here you can check the answer for Find the LCM of 257 and 261.
What is LCM of 257 and 261
Given Numbers are 257, 261
We can find the LCM of 257, 261 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 257 and 261
Multiples of 257 =257,514,771,1028,1285,1542,1799,2056,2313,2570,2827,3084,3341,3598,3855,4112,4369,
Multiples of 261 =261,522,783,1044,1305,1566,1827,2088,2349,2610,2871,3132,3393,3654,3915,4176,4437,
Now, get the least common multiple of 257, 261 which is 67077
So, the LCM of 257, 261 is 67077.
Least Common Multiple (LCM) of 257 and 261 with the help of Prime Factorisation
One method for determining the LCM of 257 and 261 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 257's prime factorization:
| 257 | 257 |
| 1 |
Prime factors of 257 are 257.
257 = 2571
And this is 261's prime factorization:
| 3 | 261 |
| 3 | 87 |
| 29 | 29 |
| 1 |
Prime factors of 261 are 3,29.
261 = 32×291
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:257, 3,29
.32×291×2571 = 67077
This shows that the LCM of 257 and 261 is 67077.
How to Calculate the LCM of 257 and 261 Using Common Multiples
The first step in determining the Least Common Multiple of 257 and 261 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 257 and 261:
Lets look at the first ten multiples of these numbers, 257 and 261:
257,514,771,1028,1285,1542,1799,2056,2313,4369 are the first ten multiples of 257.
261,522,783,1044,1305,1566,1827,2088,2349,4437 are the first ten multiples of 261.
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 257 and 261, for example, are 3084, 4369, and 4176. 67077 is the least common multiple since it is the smallest.
257 and 261 have an LCM of 67077.
Least Common Multiple of 257 and 261 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 257 and 261, than apply into the LCM equation.
GCF(257,261) = 1
LCM(257,261) = ( 257 × 261) / 1
LCM(257,261) = 67077 / 1
LCM(257,261) = 67077
Related Least Common Multiples of 257
Related Least Common Multiples of 261
Frequently Asked Questions on LCM of 257 and 261
1. What is the LCM of 257 and 261?
The LCM of 257 and 261 is 67077.
2. How to find the lowest common multiple of 257 and 261?
To find the lowest common multiple of 257 and 261, we have to get the multip;es of both numbers and identify the least common multiple in them which is 67077.
3. What are the Factors of 257?
Answer: Factors of 257 are 1, 257. There are 2 integers that are factors of 257. The greatest factor of 257 is 257.
4. What are the Factors of 261?
Answer: Factors of 261 are 1, 3, 9, 29, 87, 261. There are 6 integers that are factors of 261. The greatest factor of 261 is 261.
5. How to Find the LCM of 257 and 261?Answer:
Least Common Multiple of 257 and 261 = 67077
Step 1: Find the prime factorization of 257
257 = 257
Step 2: Find the prime factorization of 261
261 = 3 x 3 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 67077 = 3 x 3 x 29 x 257
Step 4: Therefore, the least common multiple of 257 and 261 is 67077.