LCM of 131 and 135
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 131 and 135 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 17685 as output. Here you can check the answer for Find the LCM of 131 and 135.
What is LCM of 131 and 135
Given Numbers are 131, 135
We can find the LCM of 131, 135 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 131 and 135
Multiples of 131 =131,262,393,524,655,786,917,1048,1179,1310,1441,1572,1703,1834,1965,2096,2227,
Multiples of 135 =135,270,405,540,675,810,945,1080,1215,1350,1485,1620,1755,1890,2025,2160,2295,
Now, get the least common multiple of 131, 135 which is 17685
So, the LCM of 131, 135 is 17685.
Least Common Multiple (LCM) of 131 and 135 with the help of Prime Factorisation
One method for determining the LCM of 131 and 135 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 131's prime factorization:
| 131 | 131 |
| 1 |
Prime factors of 131 are 131.
131 = 1311
And this is 135's prime factorization:
| 3 | 135 |
| 3 | 45 |
| 3 | 15 |
| 5 | 5 |
| 1 |
Prime factors of 135 are 3,5.
135 = 33×51
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:131, 3,5
.33×51×1311 = 17685
This shows that the LCM of 131 and 135 is 17685.
How to Calculate the LCM of 131 and 135 Using Common Multiples
The first step in determining the Least Common Multiple of 131 and 135 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 131 and 135:
Lets look at the first ten multiples of these numbers, 131 and 135:
131,262,393,524,655,786,917,1048,1179,2227 are the first ten multiples of 131.
135,270,405,540,675,810,945,1080,1215,2295 are the first ten multiples of 135.
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 131 and 135, for example, are 1572, 2227, and 2160. 17685 is the least common multiple since it is the smallest.
131 and 135 have an LCM of 17685.
Least Common Multiple of 131 and 135 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 131 and 135, than apply into the LCM equation.
GCF(131,135) = 1
LCM(131,135) = ( 131 × 135) / 1
LCM(131,135) = 17685 / 1
LCM(131,135) = 17685
Related Least Common Multiples of 131
Related Least Common Multiples of 135
Frequently Asked Questions on LCM of 131 and 135
1. What is the LCM of 131 and 135?
The LCM of 131 and 135 is 17685.
2. How to find the lowest common multiple of 131 and 135?
To find the lowest common multiple of 131 and 135, we have to get the multip;es of both numbers and identify the least common multiple in them which is 17685.
3. What are the Factors of 131?
Answer: Factors of 131 are 1, 131. There are 2 integers that are factors of 131. The greatest factor of 131 is 131.
4. What are the Factors of 135?
Answer: Factors of 135 are 1, 3, 5, 9, 15, 27, 45, 135. There are 8 integers that are factors of 135. The greatest factor of 135 is 135.
5. How to Find the LCM of 131 and 135?Answer:
Least Common Multiple of 131 and 135 = 17685
Step 1: Find the prime factorization of 131
131 = 131
Step 2: Find the prime factorization of 135
135 = 3 x 3 x 3 x 5
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17685 = 3 x 3 x 3 x 5 x 131
Step 4: Therefore, the least common multiple of 131 and 135 is 17685.