LCM of 22 and 30 is 330. The Least Common multiple or Lowest common multiple simply known as LCM is the smallest or the least positive integer that is divisible by the given set of numbers. In the given set of numbers 22 and 30, 330 is the first(least or smallest) number that is common in the set of multiples of 22 and 30. 660 is also the common multiple of 22 and 30. However, 330 is the smallest. Hence 330 is the LCM which is also known as LCD, Least Common Divisor for 22 and 30. You can read more on LCM for further details.
What is LCM of 22 and 30
The Least Common Multiple or Lowest Common Multiple of 22 and 30 is 330.
How to Find LCM of 22 and 30?
LCM of 22 and 30 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 22 and 30 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 22 and 30 can be expressed as;
22 = 2 x 11
30 = 2 x 3 x 5
LCM (22, 30) = 2 x 3 x 5 x 11 = 330
LCM of 22 and 30 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 |
22 |
30 |
|
3 |
11 |
15 |
|
5 |
11 |
5 |
|
11 |
11 |
1 |
|
x |
1 |
1 |
LCM (22, 30) = 2 x 3 x 5 x 11 = 330
LCM of 22 and 30 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 22 and 30
Multiples of 22: 22, 44, 66, …. 176 198 220 …. 308, 330, 352, 374.
Multiples of 30: 30, 60, 90,…210, 240…300, 330, 360, 390.
LCM (22, 30) = 330
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 22 and 30?
Answer: 330 is the smallest number that is divisible by both 22 and 30.
What is the LCM for 2, 22 and 30?
Answer: LCM for 2, 22 and 30 is 330.
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