LCM of 281 and 286
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 281 and 286 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 80366 as output. Here you can check the answer for Find the LCM of 281 and 286.
What is LCM of 281 and 286
Given Numbers are 281, 286
We can find the LCM of 281, 286 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 281 and 286
Multiples of 281 =281,562,843,1124,1405,1686,1967,2248,2529,2810,3091,3372,3653,3934,4215,4496,4777,
Multiples of 286 =286,572,858,1144,1430,1716,2002,2288,2574,2860,3146,3432,3718,4004,4290,4576,4862,
Now, get the least common multiple of 281, 286 which is 80366
So, the LCM of 281, 286 is 80366.
Least Common Multiple (LCM) of 281 and 286 with the help of Prime Factorisation
One method for determining the LCM of 281 and 286 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 281's prime factorization:
| 281 | 281 |
| 1 |
Prime factors of 281 are 281.
281 = 2811
And this is 286's prime factorization:
| 2 | 286 |
| 11 | 143 |
| 13 | 13 |
| 1 |
Prime factors of 286 are 2, 11,13.
286 = 21×111×131
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:281, 2, 11,13
.21×111×131×2811 = 80366
This shows that the LCM of 281 and 286 is 80366.
How to Calculate the LCM of 281 and 286 Using Common Multiples
The first step in determining the Least Common Multiple of 281 and 286 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 281 and 286:
Lets look at the first ten multiples of these numbers, 281 and 286:
281,562,843,1124,1405,1686,1967,2248,2529,4777 are the first ten multiples of 281.
286,572,858,1144,1430,1716,2002,2288,2574,4862 are the first ten multiples of 286.
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 281 and 286, for example, are 3372, 4777, and 4576. 80366 is the least common multiple since it is the smallest.
281 and 286 have an LCM of 80366.
Least Common Multiple of 281 and 286 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 281 and 286, than apply into the LCM equation.
GCF(281,286) = 1
LCM(281,286) = ( 281 × 286) / 1
LCM(281,286) = 80366 / 1
LCM(281,286) = 80366
Related Least Common Multiples of 281
Related Least Common Multiples of 286
Frequently Asked Questions on LCM of 281 and 286
1. What is the LCM of 281 and 286?
The LCM of 281 and 286 is 80366.
2. How to find the lowest common multiple of 281 and 286?
To find the lowest common multiple of 281 and 286, we have to get the multip;es of both numbers and identify the least common multiple in them which is 80366.
3. What are the Factors of 281?
Answer: Factors of 281 are 1, 281. There are 2 integers that are factors of 281. The greatest factor of 281 is 281.
4. What are the Factors of 286?
Answer: Factors of 286 are 1, 2, 11, 13, 22, 26, 143, 286. There are 8 integers that are factors of 286. The greatest factor of 286 is 286.
5. How to Find the LCM of 281 and 286?Answer:
Least Common Multiple of 281 and 286 = 80366
Step 1: Find the prime factorization of 281
281 = 281
Step 2: Find the prime factorization of 286
286 = 2 x 11 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 80366 = 2 x 11 x 13 x 281
Step 4: Therefore, the least common multiple of 281 and 286 is 80366.