LCM of 139 and 144
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 139 and 144 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 20016 as output. Here you can check the answer for Find the LCM of 139 and 144.
What is LCM of 139 and 144
Given Numbers are 139, 144
We can find the LCM of 139, 144 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 139 and 144
Multiples of 139 =139,278,417,556,695,834,973,1112,1251,1390,1529,1668,1807,1946,2085,2224,2363,
Multiples of 144 =144,288,432,576,720,864,1008,1152,1296,1440,1584,1728,1872,2016,2160,2304,2448,
Now, get the least common multiple of 139, 144 which is 20016
So, the LCM of 139, 144 is 20016.
Least Common Multiple (LCM) of 139 and 144 with the help of Prime Factorisation
One method for determining the LCM of 139 and 144 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 139's prime factorization:
| 139 | 139 |
| 1 |
Prime factors of 139 are 139.
139 = 1391
And this is 144's prime factorization:
| 2 | 144 |
| 2 | 72 |
| 2 | 36 |
| 2 | 18 |
| 3 | 9 |
| 3 | 3 |
| 1 |
Prime factors of 144 are 2,3.
144 = 24×32
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:139, 2,3
.24×32×1391 = 20016
This shows that the LCM of 139 and 144 is 20016.
How to Calculate the LCM of 139 and 144 Using Common Multiples
The first step in determining the Least Common Multiple of 139 and 144 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 139 and 144:
Lets look at the first ten multiples of these numbers, 139 and 144:
139,278,417,556,695,834,973,1112,1251,2363 are the first ten multiples of 139.
144,288,432,576,720,864,1008,1152,1296,2448 are the first ten multiples of 144.
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 139 and 144, for example, are 1668, 2363, and 2304. 20016 is the least common multiple since it is the smallest.
139 and 144 have an LCM of 20016.
Least Common Multiple of 139 and 144 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 139 and 144, than apply into the LCM equation.
GCF(139,144) = 1
LCM(139,144) = ( 139 × 144) / 1
LCM(139,144) = 20016 / 1
LCM(139,144) = 20016
Related Least Common Multiples of 139
Related Least Common Multiples of 144
Frequently Asked Questions on LCM of 139 and 144
1. What is the LCM of 139 and 144?
The LCM of 139 and 144 is 20016.
2. How to find the lowest common multiple of 139 and 144?
To find the lowest common multiple of 139 and 144, we have to get the multip;es of both numbers and identify the least common multiple in them which is 20016.
3. 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.
4. What are the Factors of 144?
Answer: Factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144. There are 15 integers that are factors of 144. The greatest factor of 144 is 144.
5. How to Find the LCM of 139 and 144?Answer:
Least Common Multiple of 139 and 144 = 20016
Step 1: Find the prime factorization of 139
139 = 139
Step 2: Find the prime factorization of 144
144 = 2 x 2 x 2 x 2 x 3 x 3
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20016 = 2 x 2 x 2 x 2 x 3 x 3 x 139
Step 4: Therefore, the least common multiple of 139 and 144 is 20016.