LCM of 13 and 20
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 13 and 20 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 260 as output. Here you can check the answer for Find the LCM of 13 and 20.
What is LCM of 13 and 20
Given Numbers are 13, 20
We can find the LCM of 13, 20 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 13 and 20
Multiples of 13 =13,26,39,52,65,78,91,104,117,130,143,156,169,182,195,208,221,
Multiples of 20 =20,40,60,80,100,120,140,160,180,200,220,240,260,280,300,320,340,
Now, get the least common multiple of 13, 20 which is 260
So, the LCM of 13, 20 is 260.
Least Common Multiple (LCM) of 13 and 20 with the help of Prime Factorisation
One method for determining the LCM of 13 and 20 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 13's prime factorization:
| 13 | 13 |
| 1 |
Prime factors of 13 are 13.
13 = 131
And this is 20's prime factorization:
| 2 | 20 |
| 2 | 10 |
| 5 | 5 |
| 1 |
Prime factors of 20 are 2,5.
20 = 22×51
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:13, 2,5
.22×51×131 = 260
This shows that the LCM of 13 and 20 is 260.
How to Calculate the LCM of 13 and 20 Using Common Multiples
The first step in determining the Least Common Multiple of 13 and 20 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 13 and 20:
Lets look at the first ten multiples of these numbers, 13 and 20:
13,26,39,52,65,78,91,104,117,221 are the first ten multiples of 13.
20,40,60,80,100,120,140,160,180,340 are the first ten multiples of 20.
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 13 and 20, for example, are 156, 221, and 320. 260 is the least common multiple since it is the smallest.
13 and 20 have an LCM of 260.
Least Common Multiple of 13 and 20 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13 and 20, than apply into the LCM equation.
GCF(13,20) = 1
LCM(13,20) = ( 13 × 20) / 1
LCM(13,20) = 260 / 1
LCM(13,20) = 260
Related Least Common Multiples of 13
Related Least Common Multiples of 20
Frequently Asked Questions on LCM of 13 and 20
1. What is the LCM of 13 and 20?
The LCM of 13 and 20 is 260.
2. How to find the lowest common multiple of 13 and 20?
To find the lowest common multiple of 13 and 20, we have to get the multip;es of both numbers and identify the least common multiple in them which is 260.
3. What are the Factors of 13?
Answer: Factors of 13 are 1, 13. There are 2 integers that are factors of 13. The greatest factor of 13 is 13.
4. What are the Factors of 20?
Answer: Factors of 20 are 1, 2, 4, 5, 10, 20. There are 6 integers that are factors of 20. The greatest factor of 20 is 20.
5. How to Find the LCM of 13 and 20?Answer:
Least Common Multiple of 13 and 20 = 260
Step 1: Find the prime factorization of 13
13 = 13
Step 2: Find the prime factorization of 20
20 = 2 x 2 x 5
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 260 = 2 x 2 x 5 x 13
Step 4: Therefore, the least common multiple of 13 and 20 is 260.