LCM of 259 and 264
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 259 and 264 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 68376 as output. Here you can check the answer for Find the LCM of 259 and 264.
What is LCM of 259 and 264
Given Numbers are 259, 264
We can find the LCM of 259, 264 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 259 and 264
Multiples of 259 =259,518,777,1036,1295,1554,1813,2072,2331,2590,2849,3108,3367,3626,3885,4144,4403,
Multiples of 264 =264,528,792,1056,1320,1584,1848,2112,2376,2640,2904,3168,3432,3696,3960,4224,4488,
Now, get the least common multiple of 259, 264 which is 68376
So, the LCM of 259, 264 is 68376.
Least Common Multiple (LCM) of 259 and 264 with the help of Prime Factorisation
One method for determining the LCM of 259 and 264 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 264's prime factorization:
| 2 | 264 |
| 2 | 132 |
| 2 | 66 |
| 3 | 33 |
| 11 | 11 |
| 1 |
Prime factors of 264 are 2, 3,11.
264 = 23×31×111
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, 2, 3,11
.23×31×71×111×371 = 68376
This shows that the LCM of 259 and 264 is 68376.
How to Calculate the LCM of 259 and 264 Using Common Multiples
The first step in determining the Least Common Multiple of 259 and 264 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 259 and 264:
Lets look at the first ten multiples of these numbers, 259 and 264:
259,518,777,1036,1295,1554,1813,2072,2331,4403 are the first ten multiples of 259.
264,528,792,1056,1320,1584,1848,2112,2376,4488 are the first ten multiples of 264.
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 264, for example, are 3108, 4403, and 4224. 68376 is the least common multiple since it is the smallest.
259 and 264 have an LCM of 68376.
Least Common Multiple of 259 and 264 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 264, than apply into the LCM equation.
GCF(259,264) = 1
LCM(259,264) = ( 259 × 264) / 1
LCM(259,264) = 68376 / 1
LCM(259,264) = 68376
Related Least Common Multiples of 259
Related Least Common Multiples of 264
Frequently Asked Questions on LCM of 259 and 264
1. What is the LCM of 259 and 264?
The LCM of 259 and 264 is 68376.
2. How to find the lowest common multiple of 259 and 264?
To find the lowest common multiple of 259 and 264, we have to get the multip;es of both numbers and identify the least common multiple in them which is 68376.
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 264?
Answer: Factors of 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264. There are 16 integers that are factors of 264. The greatest factor of 264 is 264.
5. How to Find the LCM of 259 and 264?Answer:
Least Common Multiple of 259 and 264 = 68376
Step 1: Find the prime factorization of 259
259 = 7 x 37
Step 2: Find the prime factorization of 264
264 = 2 x 2 x 2 x 3 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 68376 = 2 x 2 x 2 x 3 x 7 x 11 x 37
Step 4: Therefore, the least common multiple of 259 and 264 is 68376.