LCM of 279 and 287
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 279 and 287 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 80073 as output. Here you can check the answer for Find the LCM of 279 and 287.
What is LCM of 279 and 287
Given Numbers are 279, 287
We can find the LCM of 279, 287 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 279 and 287
Multiples of 279 =279,558,837,1116,1395,1674,1953,2232,2511,2790,3069,3348,3627,3906,4185,4464,4743,
Multiples of 287 =287,574,861,1148,1435,1722,2009,2296,2583,2870,3157,3444,3731,4018,4305,4592,4879,
Now, get the least common multiple of 279, 287 which is 80073
So, the LCM of 279, 287 is 80073.
Least Common Multiple (LCM) of 279 and 287 with the help of Prime Factorisation
One method for determining the LCM of 279 and 287 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 279's prime factorization:
| 3 | 279 |
| 3 | 93 |
| 31 | 31 |
| 1 |
Prime factors of 279 are 3,31.
279 = 32×311
And this is 287's prime factorization:
| 7 | 287 |
| 41 | 41 |
| 1 |
Prime factors of 287 are 7,41.
287 = 71×411
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: 3,31, 7,41
.32×71×311×411 = 80073
This shows that the LCM of 279 and 287 is 80073.
How to Calculate the LCM of 279 and 287 Using Common Multiples
The first step in determining the Least Common Multiple of 279 and 287 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 279 and 287:
Lets look at the first ten multiples of these numbers, 279 and 287:
279,558,837,1116,1395,1674,1953,2232,2511,4743 are the first ten multiples of 279.
287,574,861,1148,1435,1722,2009,2296,2583,4879 are the first ten multiples of 287.
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 279 and 287, for example, are 3348, 4743, and 4592. 80073 is the least common multiple since it is the smallest.
279 and 287 have an LCM of 80073.
Least Common Multiple of 279 and 287 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 279 and 287, than apply into the LCM equation.
GCF(279,287) = 1
LCM(279,287) = ( 279 × 287) / 1
LCM(279,287) = 80073 / 1
LCM(279,287) = 80073
Related Least Common Multiples of 279
Related Least Common Multiples of 287
Frequently Asked Questions on LCM of 279 and 287
1. What is the LCM of 279 and 287?
The LCM of 279 and 287 is 80073.
2. How to find the lowest common multiple of 279 and 287?
To find the lowest common multiple of 279 and 287, we have to get the multip;es of both numbers and identify the least common multiple in them which is 80073.
3. 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.
4. What are the Factors of 287?
Answer: Factors of 287 are 1, 7, 41, 287. There are 4 integers that are factors of 287. The greatest factor of 287 is 287.
5. How to Find the LCM of 279 and 287?Answer:
Least Common Multiple of 279 and 287 = 80073
Step 1: Find the prime factorization of 279
279 = 3 x 3 x 31
Step 2: Find the prime factorization of 287
287 = 7 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 80073 = 3 x 3 x 7 x 31 x 41
Step 4: Therefore, the least common multiple of 279 and 287 is 80073.