LCM of 1 and 2 is 2. If you observe the common multiples of 1 and 2, there are 2, 4, 6, 8 and so on. Out of these common multiples, 2 is the least number or the smallest number that is common. Hence 2 is called the Least Common multiple or Lowest common multiple or simply LCM. The LCM is also known as LCD, Least Common Divisor for 1 and 2 is 2. You can refer to the LCM with Examples for more understanding.
What is LCM of 1 and 2
The Least Common Multiple or Lowest Common Multiple of 1 and 2 is 2.
How to Find LCM of 1 and 2?
LCM of 1 and 2 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 1 and 2 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 1 and 2 can be expressed as;
1 = 1 x 1
2 = 2 x 1
LCM (1, 2) = 1 x 2 = 2
LCM of 1 and 2 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, until no further division is possible or only when prime numbers are left.
|
2 |
1 |
2 |
|
x |
1 |
1 |
Hence, LCM (1, 2) = 1 x 2 = 2
LCM of 1 and 2 Using Listing the Multiples
By listing all the multiples of given numbers, we can identify the first/smallest/least common multiple, which is the LCM. Below is the list of multiples for 1 and 2
|
Multiples of 1 |
Multiples of 2 |
|
1 |
2 |
|
2 |
4 |
|
3 |
6 |
|
4 |
8 |
|
5 |
10 |
LCM (1, 2) = 2
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 1 and 2?
Answer: 2 is the smallest number that is divisible by both 1 and 2.
What is the GCF for 1 and 2?
Answer: Greatest Common Factor for 1 and 2 is 1.
Comments