LCM of 18 and 26
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 18 and 26 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 234 as output. Here you can check the answer for Find the LCM of 18 and 26.
What is LCM of 18 and 26
Given Numbers are 18, 26
We can find the LCM of 18, 26 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 18 and 26
Multiples of 18 =18,36,54,72,90,108,126,144,162,180,198,216,234,252,270,288,306,
Multiples of 26 =26,52,78,104,130,156,182,208,234,260,286,312,338,364,390,416,442,
Now, get the least common multiple of 18, 26 which is 234
So, the LCM of 18, 26 is 234.
Least Common Multiple (LCM) of 18 and 26 with the help of Prime Factorisation
One method for determining the LCM of 18 and 26 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 18's prime factorization:
| 2 | 18 |
| 3 | 9 |
| 3 | 3 |
| 1 |
Prime factors of 18 are 2,3.
18 = 21×32
And this is 26's prime factorization:
| 2 | 26 |
| 13 | 13 |
| 1 |
Prime factors of 26 are 2,13.
26 = 21×131
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: 2,3,13
.21×32×131 = 234
This shows that the LCM of 18 and 26 is 234.
How to Calculate the LCM of 18 and 26 Using Common Multiples
The first step in determining the Least Common Multiple of 18 and 26 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 18 and 26:
Lets look at the first ten multiples of these numbers, 18 and 26:
18,36,54,72,90,108,126,144,162,306 are the first ten multiples of 18.
26,52,78,104,130,156,182,208,234,442 are the first ten multiples of 26.
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 18 and 26, for example, are 216, 306, and 416. 234 is the least common multiple since it is the smallest.
18 and 26 have an LCM of 234.
Least Common Multiple of 18 and 26 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18 and 26, than apply into the LCM equation.
GCF(18,26) = 2
LCM(18,26) = ( 18 × 26) / 2
LCM(18,26) = 468 / 2
LCM(18,26) = 234
Related Least Common Multiples of 18
Related Least Common Multiples of 26
Frequently Asked Questions on LCM of 18 and 26
1. What is the LCM of 18 and 26?
The LCM of 18 and 26 is 234.
2. How to find the lowest common multiple of 18 and 26?
To find the lowest common multiple of 18 and 26, we have to get the multip;es of both numbers and identify the least common multiple in them which is 234.
3. What are the Factors of 18?
Answer: Factors of 18 are 1, 2, 3, 6, 9, 18. There are 6 integers that are factors of 18. The greatest factor of 18 is 18.
4. What are the Factors of 26?
Answer: Factors of 26 are 1, 2, 13, 26. There are 4 integers that are factors of 26. The greatest factor of 26 is 26.
5. How to Find the LCM of 18 and 26?Answer:
Least Common Multiple of 18 and 26 = 234
Step 1: Find the prime factorization of 18
18 = 2 x 3 x 3
Step 2: Find the prime factorization of 26
26 = 2 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 = 234 = 2 x 3 x 3 x 13
Step 4: Therefore, the least common multiple of 18 and 26 is 234.