LCM of 127 and 135
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 127 and 135 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 17145 as output. Here you can check the answer for Find the LCM of 127 and 135.
What is LCM of 127 and 135
Given Numbers are 127, 135
We can find the LCM of 127, 135 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 127 and 135
Multiples of 127 =127,254,381,508,635,762,889,1016,1143,1270,1397,1524,1651,1778,1905,2032,2159,
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 127, 135 which is 17145
So, the LCM of 127, 135 is 17145.
Least Common Multiple (LCM) of 127 and 135 with the help of Prime Factorisation
One method for determining the LCM of 127 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 127's prime factorization:
| 127 | 127 |
| 1 |
Prime factors of 127 are 127.
127 = 1271
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:127, 3,5
.33×51×1271 = 17145
This shows that the LCM of 127 and 135 is 17145.
How to Calculate the LCM of 127 and 135 Using Common Multiples
The first step in determining the Least Common Multiple of 127 and 135 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 127 and 135:
Lets look at the first ten multiples of these numbers, 127 and 135:
127,254,381,508,635,762,889,1016,1143,2159 are the first ten multiples of 127.
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 127 and 135, for example, are 1524, 2159, and 2160. 17145 is the least common multiple since it is the smallest.
127 and 135 have an LCM of 17145.
Least Common Multiple of 127 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 127 and 135, than apply into the LCM equation.
GCF(127,135) = 1
LCM(127,135) = ( 127 × 135) / 1
LCM(127,135) = 17145 / 1
LCM(127,135) = 17145
Related Least Common Multiples of 127
Related Least Common Multiples of 135
Frequently Asked Questions on LCM of 127 and 135
1. What is the LCM of 127 and 135?
The LCM of 127 and 135 is 17145.
2. How to find the lowest common multiple of 127 and 135?
To find the lowest common multiple of 127 and 135, we have to get the multip;es of both numbers and identify the least common multiple in them which is 17145.
3. What are the Factors of 127?
Answer: Factors of 127 are 1, 127. There are 2 integers that are factors of 127. The greatest factor of 127 is 127.
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 127 and 135?Answer:
Least Common Multiple of 127 and 135 = 17145
Step 1: Find the prime factorization of 127
127 = 127
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 = 17145 = 3 x 3 x 3 x 5 x 127
Step 4: Therefore, the least common multiple of 127 and 135 is 17145.