LCM of 20 and 26 is 260. LCM is Least Common multiple sometimes also known as Lowest common multiple. LCM is the smallest or the least positive integer that common in the list of multiples for the given numbers. In the given set of numbers 20 and 26, 260 is the first(least or smallest) number that is common in the set of multiples of 20 and 26. The LCM is also referred to as LCD, Least Common Divisor. You can use the LCM for detailed understanding.
What is LCM of 20 and 26
The Least Common Multiple or Lowest Common Multiple of 20 and 26 is 260.
How to Find LCM of 20 and 26?
LCM of 20 and 26 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 20 and 26 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers are expressed in terms of the product of prime factors
Here, 20 and 26 can be expressed as;
20 = 2 × 2 × 5
26 = 2 × 13
LCM (20, 26) = 2 × 2 × 5 × 13 = 260
LCM of 20 and 26 Using Division Method
In the Division Method,
- The given set of numbers are written in the same row separated by a comma.
- These numbers are divided with the smallest number that divides all or atleast one.
- The division is continued with increasing order of factors, till the remainder becomes 1 for all numbers.
- Product of the prime factors forms the LCM
|
2 |
20 |
26 |
|
2 |
10 |
13 |
|
5 |
5 |
13 |
|
13 |
1 |
13 |
|
× |
1 |
1 |
LCM (20, 26) = 2 × 2 × 5 × 13 = 260
LCM of 20 and 26 Using Listing the Multiples
By listing all the multiples of given numbers, we can note the least common multiple, which is the LCM. Below is the list of multiples for 20 and 26
|
Multiples of 20 |
Multiples of 26 |
|
20 |
26 |
|
40 |
52 |
|
60 |
78 |
|
80 |
104 |
|
100 |
130 |
|
120 |
156 |
|
140 |
182 |
|
160 |
208 |
|
260 |
234 |
|
200 |
260 |
LCM (20, 26) = 260
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 20 and 26?
Answer: 260 is the smallest number that is divisible by both 20 and 26.
What is the LCM for 2, 4, 20 and 26?
Answer: LCM for 2, 4, 20 and 26 is 260 as 2 and 4 are the factors of 20 and 2 is a factor of 26.
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