LCM of 259 and 265
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 259 and 265 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 68635 as output. Here you can check the answer for Find the LCM of 259 and 265.
What is LCM of 259 and 265
Given Numbers are 259, 265
We can find the LCM of 259, 265 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 259 and 265
Multiples of 259 =259,518,777,1036,1295,1554,1813,2072,2331,2590,2849,3108,3367,3626,3885,4144,4403,
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 259, 265 which is 68635
So, the LCM of 259, 265 is 68635.
Least Common Multiple (LCM) of 259 and 265 with the help of Prime Factorisation
One method for determining the LCM of 259 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 259's prime factorization:
| 7 | 259 |
| 37 | 37 |
| 1 |
Prime factors of 259 are 7,37.
259 = 71×371
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: 7,37, 5,53
.51×71×371×531 = 68635
This shows that the LCM of 259 and 265 is 68635.
How to Calculate the LCM of 259 and 265 Using Common Multiples
The first step in determining the Least Common Multiple of 259 and 265 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 259 and 265:
Lets look at the first ten multiples of these numbers, 259 and 265:
259,518,777,1036,1295,1554,1813,2072,2331,4403 are the first ten multiples of 259.
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 259 and 265, for example, are 3108, 4403, and 4240. 68635 is the least common multiple since it is the smallest.
259 and 265 have an LCM of 68635.
Least Common Multiple of 259 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 259 and 265, than apply into the LCM equation.
GCF(259,265) = 1
LCM(259,265) = ( 259 × 265) / 1
LCM(259,265) = 68635 / 1
LCM(259,265) = 68635
Related Least Common Multiples of 259
Related Least Common Multiples of 265
Frequently Asked Questions on LCM of 259 and 265
1. What is the LCM of 259 and 265?
The LCM of 259 and 265 is 68635.
2. How to find the lowest common multiple of 259 and 265?
To find the lowest common multiple of 259 and 265, we have to get the multip;es of both numbers and identify the least common multiple in them which is 68635.
3. What are the Factors of 259?
Answer: Factors of 259 are 1, 7, 37, 259. There are 4 integers that are factors of 259. The greatest factor of 259 is 259.
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 259 and 265?Answer:
Least Common Multiple of 259 and 265 = 68635
Step 1: Find the prime factorization of 259
259 = 7 x 37
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 = 68635 = 5 x 7 x 37 x 53
Step 4: Therefore, the least common multiple of 259 and 265 is 68635.