LCM of 277 and 282
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 277 and 282 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 78114 as output. Here you can check the answer for Find the LCM of 277 and 282.
What is LCM of 277 and 282
Given Numbers are 277, 282
We can find the LCM of 277, 282 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 277 and 282
Multiples of 277 =277,554,831,1108,1385,1662,1939,2216,2493,2770,3047,3324,3601,3878,4155,4432,4709,
Multiples of 282 =282,564,846,1128,1410,1692,1974,2256,2538,2820,3102,3384,3666,3948,4230,4512,4794,
Now, get the least common multiple of 277, 282 which is 78114
So, the LCM of 277, 282 is 78114.
Least Common Multiple (LCM) of 277 and 282 with the help of Prime Factorisation
One method for determining the LCM of 277 and 282 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 277's prime factorization:
| 277 | 277 |
| 1 |
Prime factors of 277 are 277.
277 = 2771
And this is 282's prime factorization:
| 2 | 282 |
| 3 | 141 |
| 47 | 47 |
| 1 |
Prime factors of 282 are 2, 3,47.
282 = 21×31×471
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:277, 2, 3,47
.21×31×471×2771 = 78114
This shows that the LCM of 277 and 282 is 78114.
How to Calculate the LCM of 277 and 282 Using Common Multiples
The first step in determining the Least Common Multiple of 277 and 282 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 277 and 282:
Lets look at the first ten multiples of these numbers, 277 and 282:
277,554,831,1108,1385,1662,1939,2216,2493,4709 are the first ten multiples of 277.
282,564,846,1128,1410,1692,1974,2256,2538,4794 are the first ten multiples of 282.
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 277 and 282, for example, are 3324, 4709, and 4512. 78114 is the least common multiple since it is the smallest.
277 and 282 have an LCM of 78114.
Least Common Multiple of 277 and 282 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 277 and 282, than apply into the LCM equation.
GCF(277,282) = 1
LCM(277,282) = ( 277 × 282) / 1
LCM(277,282) = 78114 / 1
LCM(277,282) = 78114
Related Least Common Multiples of 277
Related Least Common Multiples of 282
Frequently Asked Questions on LCM of 277 and 282
1. What is the LCM of 277 and 282?
The LCM of 277 and 282 is 78114.
2. How to find the lowest common multiple of 277 and 282?
To find the lowest common multiple of 277 and 282, we have to get the multip;es of both numbers and identify the least common multiple in them which is 78114.
3. What are the Factors of 277?
Answer: Factors of 277 are 1, 277. There are 2 integers that are factors of 277. The greatest factor of 277 is 277.
4. What are the Factors of 282?
Answer: Factors of 282 are 1, 2, 3, 6, 47, 94, 141, 282. There are 8 integers that are factors of 282. The greatest factor of 282 is 282.
5. How to Find the LCM of 277 and 282?Answer:
Least Common Multiple of 277 and 282 = 78114
Step 1: Find the prime factorization of 277
277 = 277
Step 2: Find the prime factorization of 282
282 = 2 x 3 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 78114 = 2 x 3 x 47 x 277
Step 4: Therefore, the least common multiple of 277 and 282 is 78114.