LCM of 271 and 279
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 271 and 279 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 75609 as output. Here you can check the answer for Find the LCM of 271 and 279.
What is LCM of 271 and 279
Given Numbers are 271, 279
We can find the LCM of 271, 279 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 271 and 279
Multiples of 271 =271,542,813,1084,1355,1626,1897,2168,2439,2710,2981,3252,3523,3794,4065,4336,4607,
Multiples of 279 =279,558,837,1116,1395,1674,1953,2232,2511,2790,3069,3348,3627,3906,4185,4464,4743,
Now, get the least common multiple of 271, 279 which is 75609
So, the LCM of 271, 279 is 75609.
Least Common Multiple (LCM) of 271 and 279 with the help of Prime Factorisation
One method for determining the LCM of 271 and 279 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 271's prime factorization:
| 271 | 271 |
| 1 |
Prime factors of 271 are 271.
271 = 2711
And this is 279's prime factorization:
| 3 | 279 |
| 3 | 93 |
| 31 | 31 |
| 1 |
Prime factors of 279 are 3,31.
279 = 32×311
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:271, 3,31
.32×311×2711 = 75609
This shows that the LCM of 271 and 279 is 75609.
How to Calculate the LCM of 271 and 279 Using Common Multiples
The first step in determining the Least Common Multiple of 271 and 279 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 271 and 279:
Lets look at the first ten multiples of these numbers, 271 and 279:
271,542,813,1084,1355,1626,1897,2168,2439,4607 are the first ten multiples of 271.
279,558,837,1116,1395,1674,1953,2232,2511,4743 are the first ten multiples of 279.
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 271 and 279, for example, are 3252, 4607, and 4464. 75609 is the least common multiple since it is the smallest.
271 and 279 have an LCM of 75609.
Least Common Multiple of 271 and 279 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 271 and 279, than apply into the LCM equation.
GCF(271,279) = 1
LCM(271,279) = ( 271 × 279) / 1
LCM(271,279) = 75609 / 1
LCM(271,279) = 75609
Related Least Common Multiples of 271
Related Least Common Multiples of 279
Frequently Asked Questions on LCM of 271 and 279
1. What is the LCM of 271 and 279?
The LCM of 271 and 279 is 75609.
2. How to find the lowest common multiple of 271 and 279?
To find the lowest common multiple of 271 and 279, we have to get the multip;es of both numbers and identify the least common multiple in them which is 75609.
3. 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.
4. What are the Factors of 279?
Answer: Factors of 279 are 1, 3, 9, 31, 93, 279. There are 6 integers that are factors of 279. The greatest factor of 279 is 279.
5. How to Find the LCM of 271 and 279?Answer:
Least Common Multiple of 271 and 279 = 75609
Step 1: Find the prime factorization of 271
271 = 271
Step 2: Find the prime factorization of 279
279 = 3 x 3 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 75609 = 3 x 3 x 31 x 271
Step 4: Therefore, the least common multiple of 271 and 279 is 75609.