LCM of 135 and 139
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 135 and 139 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 18765 as output. Here you can check the answer for Find the LCM of 135 and 139.
What is LCM of 135 and 139
Given Numbers are 135, 139
We can find the LCM of 135, 139 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 135 and 139
Multiples of 135 =135,270,405,540,675,810,945,1080,1215,1350,1485,1620,1755,1890,2025,2160,2295,
Multiples of 139 =139,278,417,556,695,834,973,1112,1251,1390,1529,1668,1807,1946,2085,2224,2363,
Now, get the least common multiple of 135, 139 which is 18765
So, the LCM of 135, 139 is 18765.
Least Common Multiple (LCM) of 135 and 139 with the help of Prime Factorisation
One method for determining the LCM of 135 and 139 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 135's prime factorization:
| 3 | 135 |
| 3 | 45 |
| 3 | 15 |
| 5 | 5 |
| 1 |
Prime factors of 135 are 3,5.
135 = 33×51
And this is 139's prime factorization:
| 139 | 139 |
| 1 |
Prime factors of 139 are 139.
139 = 1391
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: 3,5,139
.33×51×1391 = 18765
This shows that the LCM of 135 and 139 is 18765.
How to Calculate the LCM of 135 and 139 Using Common Multiples
The first step in determining the Least Common Multiple of 135 and 139 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 135 and 139:
Lets look at the first ten multiples of these numbers, 135 and 139:
135,270,405,540,675,810,945,1080,1215,2295 are the first ten multiples of 135.
139,278,417,556,695,834,973,1112,1251,2363 are the first ten multiples of 139.
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 135 and 139, for example, are 1620, 2295, and 2224. 18765 is the least common multiple since it is the smallest.
135 and 139 have an LCM of 18765.
Least Common Multiple of 135 and 139 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 135 and 139, than apply into the LCM equation.
GCF(135,139) = 1
LCM(135,139) = ( 135 × 139) / 1
LCM(135,139) = 18765 / 1
LCM(135,139) = 18765
Related Least Common Multiples of 135
Related Least Common Multiples of 139
Frequently Asked Questions on LCM of 135 and 139
1. What is the LCM of 135 and 139?
The LCM of 135 and 139 is 18765.
2. How to find the lowest common multiple of 135 and 139?
To find the lowest common multiple of 135 and 139, we have to get the multip;es of both numbers and identify the least common multiple in them which is 18765.
3. 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.
4. What are the Factors of 139?
Answer: Factors of 139 are 1, 139. There are 2 integers that are factors of 139. The greatest factor of 139 is 139.
5. How to Find the LCM of 135 and 139?Answer:
Least Common Multiple of 135 and 139 = 18765
Step 1: Find the prime factorization of 135
135 = 3 x 3 x 3 x 5
Step 2: Find the prime factorization of 139
139 = 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18765 = 3 x 3 x 3 x 5 x 139
Step 4: Therefore, the least common multiple of 135 and 139 is 18765.