LCM of 26 and 34
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 26 and 34 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 442 as output. Here you can check the answer for Find the LCM of 26 and 34.
What is LCM of 26 and 34
Given Numbers are 26, 34
We can find the LCM of 26, 34 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 26 and 34
Multiples of 26 =26,52,78,104,130,156,182,208,234,260,286,312,338,364,390,416,442,
Multiples of 34 =34,68,102,136,170,204,238,272,306,340,374,408,442,476,510,544,578,
Now, get the least common multiple of 26, 34 which is 442
So, the LCM of 26, 34 is 442.
Least Common Multiple (LCM) of 26 and 34 with the help of Prime Factorisation
One method for determining the LCM of 26 and 34 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 26's prime factorization:
| 2 | 26 |
| 13 | 13 |
| 1 |
Prime factors of 26 are 2,13.
26 = 21×131
And this is 34's prime factorization:
| 2 | 34 |
| 17 | 17 |
| 1 |
Prime factors of 34 are 2,17.
34 = 21×171
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: 2,13,17
.21×131×171 = 442
This shows that the LCM of 26 and 34 is 442.
How to Calculate the LCM of 26 and 34 Using Common Multiples
The first step in determining the Least Common Multiple of 26 and 34 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 26 and 34:
Lets look at the first ten multiples of these numbers, 26 and 34:
26,52,78,104,130,156,182,208,234,442 are the first ten multiples of 26.
34,68,102,136,170,204,238,272,306,578 are the first ten multiples of 34.
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 26 and 34, for example, are 312, 442, and 544. 442 is the least common multiple since it is the smallest.
26 and 34 have an LCM of 442.
Least Common Multiple of 26 and 34 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26 and 34, than apply into the LCM equation.
GCF(26,34) = 2
LCM(26,34) = ( 26 × 34) / 2
LCM(26,34) = 884 / 2
LCM(26,34) = 442
Related Least Common Multiples of 26
Related Least Common Multiples of 34
Frequently Asked Questions on LCM of 26 and 34
1. What is the LCM of 26 and 34?
The LCM of 26 and 34 is 442.
2. How to find the lowest common multiple of 26 and 34?
To find the lowest common multiple of 26 and 34, we have to get the multip;es of both numbers and identify the least common multiple in them which is 442.
3. 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.
4. What are the Factors of 34?
Answer: Factors of 34 are 1, 2, 17, 34. There are 4 integers that are factors of 34. The greatest factor of 34 is 34.
5. How to Find the LCM of 26 and 34?Answer:
Least Common Multiple of 26 and 34 = 442
Step 1: Find the prime factorization of 26
26 = 2 x 13
Step 2: Find the prime factorization of 34
34 = 2 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 442 = 2 x 13 x 17
Step 4: Therefore, the least common multiple of 26 and 34 is 442.