LCM of 2 and 18 is 18. If you observe the common multiples of 2 and 18, there are 18, 36, 54, and so on. Out of these common multiples, 18 is the least number or the smallest number that is common. Hence 18 is called the Least Common multiple or Lowest common multiple or simply LCM. The LCM is also known as LCD, Least Common Divisor for 2 and 18 is 18. You can refer to the LCM with Examples for more understanding.
What is LCM of 2 and 18
The Least Common Multiple or Lowest Common Multiple of 2 and 18 is 18.
How to Find LCM of 2 and 18?
LCM of 2 and 18 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 2 and 18 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers 2 and 18 can be expressed as;
2 = 2 × 1
18 = 2 × 3 × 3
2 is a common factor for both 2 and 18 and 2 will be multiplied with other factors of 18 to get the LCM.
LCM (2, 18) = 2 × 3 × 3 = 18
LCM of 2 and 18 Using Division Method
In the Division Method,
- Divide 2 and 18 by prime divisors.
- The product of all the prime divisors once the division is complete forms the LCM.
|
2 |
2 |
18 |
|
3 |
1 |
9 |
|
3 |
1 |
3 |
|
× |
1 |
1 |
Hence, LCM (2, 18) = 2 × 3 × 3 = 18
LCM of 2 and 18 Using Listing the Multiples
By listing all the multiples of 2 and 18, we can identify the LCM. Below is the list of multiples for 2 and 18
|
Multiples of 2 |
Multiples of 18 |
|
2 |
18 |
|
4 |
36 |
|
6 |
54 |
|
8 |
72 |
|
10 |
90 |
|
12 |
108 |
|
14 |
126 |
|
16 |
144 |
|
18 |
162 |
|
20 |
180 |
LCM (2, 18) = 18
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 2 and 18?
Answer: 18 is the smallest number that is divisible by both 2 and 18.
What is the Greatest Common Divisor for 2 and 18?
Answer: Greatest Common Divisor for 2 and 18 is 2.
Comments