LCM of 113 and 120
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 113 and 120 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 13560 as output. Here you can check the answer for Find the LCM of 113 and 120.
What is LCM of 113 and 120
Given Numbers are 113, 120
We can find the LCM of 113, 120 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 113 and 120
Multiples of 113 =113,226,339,452,565,678,791,904,1017,1130,1243,1356,1469,1582,1695,1808,1921,
Multiples of 120 =120,240,360,480,600,720,840,960,1080,1200,1320,1440,1560,1680,1800,1920,2040,
Now, get the least common multiple of 113, 120 which is 13560
So, the LCM of 113, 120 is 13560.
Least Common Multiple (LCM) of 113 and 120 with the help of Prime Factorisation
One method for determining the LCM of 113 and 120 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 113's prime factorization:
| 113 | 113 |
| 1 |
Prime factors of 113 are 113.
113 = 1131
And this is 120's prime factorization:
| 2 | 120 |
| 2 | 60 |
| 2 | 30 |
| 3 | 15 |
| 5 | 5 |
| 1 |
Prime factors of 120 are 2, 3,5.
120 = 23×31×51
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:113, 2, 3,5
.23×31×51×1131 = 13560
This shows that the LCM of 113 and 120 is 13560.
How to Calculate the LCM of 113 and 120 Using Common Multiples
The first step in determining the Least Common Multiple of 113 and 120 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 113 and 120:
Lets look at the first ten multiples of these numbers, 113 and 120:
113,226,339,452,565,678,791,904,1017,1921 are the first ten multiples of 113.
120,240,360,480,600,720,840,960,1080,2040 are the first ten multiples of 120.
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 113 and 120, for example, are 1356, 1921, and 1920. 13560 is the least common multiple since it is the smallest.
113 and 120 have an LCM of 13560.
Least Common Multiple of 113 and 120 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 113 and 120, than apply into the LCM equation.
GCF(113,120) = 1
LCM(113,120) = ( 113 × 120) / 1
LCM(113,120) = 13560 / 1
LCM(113,120) = 13560
Related Least Common Multiples of 113
Related Least Common Multiples of 120
Frequently Asked Questions on LCM of 113 and 120
1. What is the LCM of 113 and 120?
The LCM of 113 and 120 is 13560.
2. How to find the lowest common multiple of 113 and 120?
To find the lowest common multiple of 113 and 120, we have to get the multip;es of both numbers and identify the least common multiple in them which is 13560.
3. What are the Factors of 113?
Answer: Factors of 113 are 1, 113. There are 2 integers that are factors of 113. The greatest factor of 113 is 113.
4. What are the Factors of 120?
Answer: Factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120. There are 16 integers that are factors of 120. The greatest factor of 120 is 120.
5. How to Find the LCM of 113 and 120?Answer:
Least Common Multiple of 113 and 120 = 13560
Step 1: Find the prime factorization of 113
113 = 113
Step 2: Find the prime factorization of 120
120 = 2 x 2 x 2 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 = 13560 = 2 x 2 x 2 x 3 x 5 x 113
Step 4: Therefore, the least common multiple of 113 and 120 is 13560.