LCM of 13 and 20 is 260.The Least Common Multiple/ Lowest Common Multiple simply known as LCM is the smallest positive integer that is divisible by the numbers given. In the given set of numbers 13 and 20, 260 is the first(least or smallest) number that is common in the set of multiples of 13 and 20. The LCM is also known as LCD, Least Common Divisor. You can use the LCM with Examples to find the lcm of any 2 numbers.
What is LCM of 13 and 20
The Least Common Multiple or Lowest Common Multiple of 13 and 20 is 260.
How to Find LCM of 13 and 20?
LCM of 13 and 20 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 13 and 20 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers 13 and 20 can be expressed as;
13 = 1 × 13
20 = 2 × 2 × 5
13 is a prime number and the prime factors of 20 are multiplied for LCM
LCM (13, 20) = 2 × 2 × 5 × 13 = 260
LCM of 13 and 20 Using Division Method
In the Division Method, 13 and 20 are divided by prime factors. The LCM will the product of 13 and prime factors of 20.
|
2 |
13 |
20 |
|
2 |
13 |
10 |
|
5 |
13 |
5 |
|
13 |
13 |
1 |
|
× |
1 |
1 |
Hence, LCM (13, 20) = 2 × 2 × 5 × 13 = 260
LCM of 13 and 20 Using Listing the Multiples
By listing all the multiples of 13 and 20, we can identify the LCM. Below is the list of multiples for 13 and 20
Multiples of 13:
13, 26, 39, 52, 65, 78, 91, 104, 117, 130, 143, 156, 169, 182, 195, 208, 221, 234, 247, 260, 273, 286…
Multiples of 20:
20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300…
LCM (13, 20) = 260
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 13 and 20?
Answer: 260 is the smallest number that is divisible by both 13 and 20.
What is the LCM for 10, 13 and 20?
Answer: LCM for 10, 13 and 20 is 260 as 10 is a factor of 20.
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