LCM of 264 and 271
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 264 and 271 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 71544 as output. Here you can check the answer for Find the LCM of 264 and 271.
What is LCM of 264 and 271
Given Numbers are 264, 271
We can find the LCM of 264, 271 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 264 and 271
Multiples of 264 =264,528,792,1056,1320,1584,1848,2112,2376,2640,2904,3168,3432,3696,3960,4224,4488,
Multiples of 271 =271,542,813,1084,1355,1626,1897,2168,2439,2710,2981,3252,3523,3794,4065,4336,4607,
Now, get the least common multiple of 264, 271 which is 71544
So, the LCM of 264, 271 is 71544.
Least Common Multiple (LCM) of 264 and 271 with the help of Prime Factorisation
One method for determining the LCM of 264 and 271 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 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
And this is 271's prime factorization:
| 271 | 271 |
| 1 |
Prime factors of 271 are 271.
271 = 2711
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: 2, 3,11,271
.23×31×111×2711 = 71544
This shows that the LCM of 264 and 271 is 71544.
How to Calculate the LCM of 264 and 271 Using Common Multiples
The first step in determining the Least Common Multiple of 264 and 271 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 264 and 271:
Lets look at the first ten multiples of these numbers, 264 and 271:
264,528,792,1056,1320,1584,1848,2112,2376,4488 are the first ten multiples of 264.
271,542,813,1084,1355,1626,1897,2168,2439,4607 are the first ten multiples of 271.
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 264 and 271, for example, are 3168, 4488, and 4336. 71544 is the least common multiple since it is the smallest.
264 and 271 have an LCM of 71544.
Least Common Multiple of 264 and 271 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 264 and 271, than apply into the LCM equation.
GCF(264,271) = 1
LCM(264,271) = ( 264 × 271) / 1
LCM(264,271) = 71544 / 1
LCM(264,271) = 71544
Related Least Common Multiples of 264
Related Least Common Multiples of 271
Frequently Asked Questions on LCM of 264 and 271
1. What is the LCM of 264 and 271?
The LCM of 264 and 271 is 71544.
2. How to find the lowest common multiple of 264 and 271?
To find the lowest common multiple of 264 and 271, we have to get the multip;es of both numbers and identify the least common multiple in them which is 71544.
3. 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.
4. What are the Factors of 271?
Answer: Factors of 271 are 1, 271. There are 2 integers that are factors of 271. The greatest factor of 271 is 271.
5. How to Find the LCM of 264 and 271?Answer:
Least Common Multiple of 264 and 271 = 71544
Step 1: Find the prime factorization of 264
264 = 2 x 2 x 2 x 3 x 11
Step 2: Find the prime factorization of 271
271 = 271
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 71544 = 2 x 2 x 2 x 3 x 11 x 271
Step 4: Therefore, the least common multiple of 264 and 271 is 71544.