LCM of 118 and 123
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 118 and 123 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 14514 as output. Here you can check the answer for Find the LCM of 118 and 123.
What is LCM of 118 and 123
Given Numbers are 118, 123
We can find the LCM of 118, 123 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 118 and 123
Multiples of 118 =118,236,354,472,590,708,826,944,1062,1180,1298,1416,1534,1652,1770,1888,2006,
Multiples of 123 =123,246,369,492,615,738,861,984,1107,1230,1353,1476,1599,1722,1845,1968,2091,
Now, get the least common multiple of 118, 123 which is 14514
So, the LCM of 118, 123 is 14514.
Least Common Multiple (LCM) of 118 and 123 with the help of Prime Factorisation
One method for determining the LCM of 118 and 123 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 118's prime factorization:
| 2 | 118 |
| 59 | 59 |
| 1 |
Prime factors of 118 are 2,59.
118 = 21×591
And this is 123's prime factorization:
| 3 | 123 |
| 41 | 41 |
| 1 |
Prime factors of 123 are 3,41.
123 = 31×411
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: 2,59, 3,41
.21×31×411×591 = 14514
This shows that the LCM of 118 and 123 is 14514.
How to Calculate the LCM of 118 and 123 Using Common Multiples
The first step in determining the Least Common Multiple of 118 and 123 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 118 and 123:
Lets look at the first ten multiples of these numbers, 118 and 123:
118,236,354,472,590,708,826,944,1062,2006 are the first ten multiples of 118.
123,246,369,492,615,738,861,984,1107,2091 are the first ten multiples of 123.
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 118 and 123, for example, are 1416, 2006, and 1968. 14514 is the least common multiple since it is the smallest.
118 and 123 have an LCM of 14514.
Least Common Multiple of 118 and 123 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 118 and 123, than apply into the LCM equation.
GCF(118,123) = 1
LCM(118,123) = ( 118 × 123) / 1
LCM(118,123) = 14514 / 1
LCM(118,123) = 14514
Related Least Common Multiples of 118
Related Least Common Multiples of 123
Frequently Asked Questions on LCM of 118 and 123
1. What is the LCM of 118 and 123?
The LCM of 118 and 123 is 14514.
2. How to find the lowest common multiple of 118 and 123?
To find the lowest common multiple of 118 and 123, we have to get the multip;es of both numbers and identify the least common multiple in them which is 14514.
3. What are the Factors of 118?
Answer: Factors of 118 are 1, 2, 59, 118. There are 4 integers that are factors of 118. The greatest factor of 118 is 118.
4. What are the Factors of 123?
Answer: Factors of 123 are 1, 3, 41, 123. There are 4 integers that are factors of 123. The greatest factor of 123 is 123.
5. How to Find the LCM of 118 and 123?Answer:
Least Common Multiple of 118 and 123 = 14514
Step 1: Find the prime factorization of 118
118 = 2 x 59
Step 2: Find the prime factorization of 123
123 = 3 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14514 = 2 x 3 x 41 x 59
Step 4: Therefore, the least common multiple of 118 and 123 is 14514.