LCM of 261 and 269
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 261 and 269 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 70209 as output. Here you can check the answer for Find the LCM of 261 and 269.
What is LCM of 261 and 269
Given Numbers are 261, 269
We can find the LCM of 261, 269 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 261 and 269
Multiples of 261 =261,522,783,1044,1305,1566,1827,2088,2349,2610,2871,3132,3393,3654,3915,4176,4437,
Multiples of 269 =269,538,807,1076,1345,1614,1883,2152,2421,2690,2959,3228,3497,3766,4035,4304,4573,
Now, get the least common multiple of 261, 269 which is 70209
So, the LCM of 261, 269 is 70209.
Least Common Multiple (LCM) of 261 and 269 with the help of Prime Factorisation
One method for determining the LCM of 261 and 269 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 269's prime factorization:
| 269 | 269 |
| 1 |
Prime factors of 269 are 269.
269 = 2691
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: 3,29,269
.32×291×2691 = 70209
This shows that the LCM of 261 and 269 is 70209.
How to Calculate the LCM of 261 and 269 Using Common Multiples
The first step in determining the Least Common Multiple of 261 and 269 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 261 and 269:
Lets look at the first ten multiples of these numbers, 261 and 269:
261,522,783,1044,1305,1566,1827,2088,2349,4437 are the first ten multiples of 261.
269,538,807,1076,1345,1614,1883,2152,2421,4573 are the first ten multiples of 269.
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 269, for example, are 3132, 4437, and 4304. 70209 is the least common multiple since it is the smallest.
261 and 269 have an LCM of 70209.
Least Common Multiple of 261 and 269 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 269, than apply into the LCM equation.
GCF(261,269) = 1
LCM(261,269) = ( 261 × 269) / 1
LCM(261,269) = 70209 / 1
LCM(261,269) = 70209
Related Least Common Multiples of 261
Related Least Common Multiples of 269
Frequently Asked Questions on LCM of 261 and 269
1. What is the LCM of 261 and 269?
The LCM of 261 and 269 is 70209.
2. How to find the lowest common multiple of 261 and 269?
To find the lowest common multiple of 261 and 269, we have to get the multip;es of both numbers and identify the least common multiple in them which is 70209.
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 269?
Answer: Factors of 269 are 1, 269. There are 2 integers that are factors of 269. The greatest factor of 269 is 269.
5. How to Find the LCM of 261 and 269?Answer:
Least Common Multiple of 261 and 269 = 70209
Step 1: Find the prime factorization of 261
261 = 3 x 3 x 29
Step 2: Find the prime factorization of 269
269 = 269
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 70209 = 3 x 3 x 29 x 269
Step 4: Therefore, the least common multiple of 261 and 269 is 70209.