LCM of 117 and 124
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 117 and 124 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 14508 as output. Here you can check the answer for Find the LCM of 117 and 124.
What is LCM of 117 and 124
Given Numbers are 117, 124
We can find the LCM of 117, 124 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 117 and 124
Multiples of 117 =117,234,351,468,585,702,819,936,1053,1170,1287,1404,1521,1638,1755,1872,1989,
Multiples of 124 =124,248,372,496,620,744,868,992,1116,1240,1364,1488,1612,1736,1860,1984,2108,
Now, get the least common multiple of 117, 124 which is 14508
So, the LCM of 117, 124 is 14508.
Least Common Multiple (LCM) of 117 and 124 with the help of Prime Factorisation
One method for determining the LCM of 117 and 124 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 117's prime factorization:
| 3 | 117 |
| 3 | 39 |
| 13 | 13 |
| 1 |
Prime factors of 117 are 3,13.
117 = 32×131
And this is 124's prime factorization:
| 2 | 124 |
| 2 | 62 |
| 31 | 31 |
| 1 |
Prime factors of 124 are 2,31.
124 = 22×311
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: 3,13, 2,31
.22×32×131×311 = 14508
This shows that the LCM of 117 and 124 is 14508.
How to Calculate the LCM of 117 and 124 Using Common Multiples
The first step in determining the Least Common Multiple of 117 and 124 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 117 and 124:
Lets look at the first ten multiples of these numbers, 117 and 124:
117,234,351,468,585,702,819,936,1053,1989 are the first ten multiples of 117.
124,248,372,496,620,744,868,992,1116,2108 are the first ten multiples of 124.
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 117 and 124, for example, are 1404, 1989, and 1984. 14508 is the least common multiple since it is the smallest.
117 and 124 have an LCM of 14508.
Least Common Multiple of 117 and 124 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 117 and 124, than apply into the LCM equation.
GCF(117,124) = 1
LCM(117,124) = ( 117 × 124) / 1
LCM(117,124) = 14508 / 1
LCM(117,124) = 14508
Related Least Common Multiples of 117
Related Least Common Multiples of 124
Frequently Asked Questions on LCM of 117 and 124
1. What is the LCM of 117 and 124?
The LCM of 117 and 124 is 14508.
2. How to find the lowest common multiple of 117 and 124?
To find the lowest common multiple of 117 and 124, we have to get the multip;es of both numbers and identify the least common multiple in them which is 14508.
3. 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.
4. What are the Factors of 124?
Answer: Factors of 124 are 1, 2, 4, 31, 62, 124. There are 6 integers that are factors of 124. The greatest factor of 124 is 124.
5. How to Find the LCM of 117 and 124?Answer:
Least Common Multiple of 117 and 124 = 14508
Step 1: Find the prime factorization of 117
117 = 3 x 3 x 13
Step 2: Find the prime factorization of 124
124 = 2 x 2 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14508 = 2 x 2 x 3 x 3 x 13 x 31
Step 4: Therefore, the least common multiple of 117 and 124 is 14508.