LCM of 261 and 265
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 261 and 265 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 69165 as output. Here you can check the answer for Find the LCM of 261 and 265.
What is LCM of 261 and 265
Given Numbers are 261, 265
We can find the LCM of 261, 265 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 261 and 265
Multiples of 261 =261,522,783,1044,1305,1566,1827,2088,2349,2610,2871,3132,3393,3654,3915,4176,4437,
Multiples of 265 =265,530,795,1060,1325,1590,1855,2120,2385,2650,2915,3180,3445,3710,3975,4240,4505,
Now, get the least common multiple of 261, 265 which is 69165
So, the LCM of 261, 265 is 69165.
Least Common Multiple (LCM) of 261 and 265 with the help of Prime Factorisation
One method for determining the LCM of 261 and 265 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 261's prime factorization:
| 3 | 261 |
| 3 | 87 |
| 29 | 29 |
| 1 |
Prime factors of 261 are 3,29.
261 = 32×291
And this is 265's prime factorization:
| 5 | 265 |
| 53 | 53 |
| 1 |
Prime factors of 265 are 5,53.
265 = 51×531
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: 3,29, 5,53
.32×51×291×531 = 69165
This shows that the LCM of 261 and 265 is 69165.
How to Calculate the LCM of 261 and 265 Using Common Multiples
The first step in determining the Least Common Multiple of 261 and 265 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 261 and 265:
Lets look at the first ten multiples of these numbers, 261 and 265:
261,522,783,1044,1305,1566,1827,2088,2349,4437 are the first ten multiples of 261.
265,530,795,1060,1325,1590,1855,2120,2385,4505 are the first ten multiples of 265.
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 261 and 265, for example, are 3132, 4437, and 4240. 69165 is the least common multiple since it is the smallest.
261 and 265 have an LCM of 69165.
Least Common Multiple of 261 and 265 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 261 and 265, than apply into the LCM equation.
GCF(261,265) = 1
LCM(261,265) = ( 261 × 265) / 1
LCM(261,265) = 69165 / 1
LCM(261,265) = 69165
Related Least Common Multiples of 261
Related Least Common Multiples of 265
Frequently Asked Questions on LCM of 261 and 265
1. What is the LCM of 261 and 265?
The LCM of 261 and 265 is 69165.
2. How to find the lowest common multiple of 261 and 265?
To find the lowest common multiple of 261 and 265, we have to get the multip;es of both numbers and identify the least common multiple in them which is 69165.
3. 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.
4. What are the Factors of 265?
Answer: Factors of 265 are 1, 5, 53, 265. There are 4 integers that are factors of 265. The greatest factor of 265 is 265.
5. How to Find the LCM of 261 and 265?Answer:
Least Common Multiple of 261 and 265 = 69165
Step 1: Find the prime factorization of 261
261 = 3 x 3 x 29
Step 2: Find the prime factorization of 265
265 = 5 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 69165 = 3 x 3 x 5 x 29 x 53
Step 4: Therefore, the least common multiple of 261 and 265 is 69165.