LCM of 7 and 18 is 126. The Least Common multiple or Lowest common multiple or LCD -Least Common Divisor mostly 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 7 and 18, 126 is the first(least or smallest) number that is common in the set of multiples of 7 and 18. You can find the LCM using the methods mentioned in the Prime Factorization and Division method.
What is LCM of 7 and 18
The Least Common Multiple or Lowest Common Multiple of 7 and 13 is 126.
How to Find LCM of 7 and 18?
LCM of 7 and 18 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 7 and 18 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 7 and 18 can be expressed as;
7 = 7 × 1
18 = 2 × 3 × 3
LCM (7, 18) = 2 × 3 × 3 × 7 = 126
LCM of 7 and 18 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 |
7 |
18 |
|
3 |
7 |
9 |
|
3 |
7 |
3 |
|
7 |
7 |
1 |
|
× |
1 |
1 |
Hence, LCM (7, 18) = 2 × 3 × 3 × 7 = 126
LCM of 7 and 18 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 7 and 18
Multiples of 7:
7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126 …
Multiples of 18
18, 36, 54, 72, 90, 108, 126, 144, 162…
LCM (7, 18) = 126
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 7 and 13?
Answer: 126 is the smallest number that is divisible by both 7 and 13.
What is the LCM for 1, 7 and 13?
Answer: LCM for 1, 7 and 13 is 126 as 1 is a factor for any number.
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