LCM of 9 and 13 is 117. 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 9 and 13, 117 is the first(least or smallest) number that is common in the set of multiples of 9 and 13. The LCM is also known as LCD, Least Common Divisor for 9 and 13 is 117. You can read more on LCM for further details.
What is LCM of 9 and 13
The Least Common Multiple or Lowest Common Multiple of 9 and 13 is 117.
How to Find LCM of 9 and 13?
LCM of 9 and 13 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 9 and 13 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 9 and 13 can be expressed as;
9 = 3 x 3
13 = 1 x 13
LCM (9, 13) = 3 x 3 x 13 = 117
LCM of 9 and 13 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.
|
3 |
9 |
13 |
|
3 |
3 |
13 |
|
13 |
1 |
13 |
|
x |
1 |
1 |
Hence, LCM (9, 13) = 3 x 3 x 13 = 117
LCM of 9 and 13 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 9 and 13
Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135 ….
Multiples of 13: 13, 26, 39, 52, 65, 78, 91, 104, 117, 130, 143,…
LCM (9, 13) = 117
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 9 and 13?
Answer: 117 is the smallest number that is divisible by both 9 and 13.
What is the LCM for 3, 9 and 13?
Answer: LCM for 1, 9 and 13 is 117.
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