LCM of 113 and 117
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 113 and 117 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 13221 as output. Here you can check the answer for Find the LCM of 113 and 117.
What is LCM of 113 and 117
Given Numbers are 113, 117
We can find the LCM of 113, 117 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 113 and 117
Multiples of 113 =113,226,339,452,565,678,791,904,1017,1130,1243,1356,1469,1582,1695,1808,1921,
Multiples of 117 =117,234,351,468,585,702,819,936,1053,1170,1287,1404,1521,1638,1755,1872,1989,
Now, get the least common multiple of 113, 117 which is 13221
So, the LCM of 113, 117 is 13221.
Least Common Multiple (LCM) of 113 and 117 with the help of Prime Factorisation
One method for determining the LCM of 113 and 117 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 117's prime factorization:
| 3 | 117 |
| 3 | 39 |
| 13 | 13 |
| 1 |
Prime factors of 117 are 3,13.
117 = 32×131
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, 3,13
.32×131×1131 = 13221
This shows that the LCM of 113 and 117 is 13221.
How to Calculate the LCM of 113 and 117 Using Common Multiples
The first step in determining the Least Common Multiple of 113 and 117 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 113 and 117:
Lets look at the first ten multiples of these numbers, 113 and 117:
113,226,339,452,565,678,791,904,1017,1921 are the first ten multiples of 113.
117,234,351,468,585,702,819,936,1053,1989 are the first ten multiples of 117.
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 117, for example, are 1356, 1921, and 1872. 13221 is the least common multiple since it is the smallest.
113 and 117 have an LCM of 13221.
Least Common Multiple of 113 and 117 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 117, than apply into the LCM equation.
GCF(113,117) = 1
LCM(113,117) = ( 113 × 117) / 1
LCM(113,117) = 13221 / 1
LCM(113,117) = 13221
Related Least Common Multiples of 113
Related Least Common Multiples of 117
Frequently Asked Questions on LCM of 113 and 117
1. What is the LCM of 113 and 117?
The LCM of 113 and 117 is 13221.
2. How to find the lowest common multiple of 113 and 117?
To find the lowest common multiple of 113 and 117, we have to get the multip;es of both numbers and identify the least common multiple in them which is 13221.
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 117?
Answer: Factors of 117 are 1, 3, 9, 13, 39, 117. There are 6 integers that are factors of 117. The greatest factor of 117 is 117.
5. How to Find the LCM of 113 and 117?Answer:
Least Common Multiple of 113 and 117 = 13221
Step 1: Find the prime factorization of 113
113 = 113
Step 2: Find the prime factorization of 117
117 = 3 x 3 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13221 = 3 x 3 x 13 x 113
Step 4: Therefore, the least common multiple of 113 and 117 is 13221.