LCM of 5 and 9 is 45. The LCM of any two integers in mathematics is the value that is evenly divisible by the two values. Among all common multiples of 5 and 9, the LCM of 5 and 9 is the smallest value. (5, 10, 15, 20, 25, 30,…) and (9, 18, 27, 36, 45, 54, 63,…) are the first few multiples of 5 and 9, respectively. The division method, listing multiples, and prime factorization are three commonly used methods for calculating the LCM of 5 and 9.
Also read: Least common multiple
What is LCM of 5 and 9?
The answer to this question is 45. The LCM of 5 and 9 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 5 and 9, is the smallest positive integer 45 which is divisible by both 5 and 9 with no remainder.
How to Find LCM of 5 and 9?
LCM of 5 and 9 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 5 and 9 Using Prime Factorisation Method
The prime factorisation of 5 and 9, respectively, is given by:
(5) = 5 and
9 = (3 × 3) = 32
LCM (5, 9) = 45
LCM of 5 and 9 Using Division Method
We’ll divide the numbers (5, 9) by their prime factors to get the LCM of 5 and 9 using the division method (preferably common). The LCM of 5 and 9 is calculated by multiplying these divisors.
| 3 | 5 | 9 |
| 3 | 5 | 3 |
| 5 | 5 | 1 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (5, 9) = 45
LCM of 5 and 9 Using Listing the Multiples
To calculate the LCM of 5 and 9 by listing out the common multiples, list the multiples as shown below:
| Multiples of 5 | Multiples of 9 |
| 5 | 9 |
| 10 | 18 |
| 15 | 27 |
| 20 | 32 |
| 25 | 45 |
| 30 | 54 |
| 35 | 63 |
| 40 | 72 |
| 45 | 81 |
The smallest common multiple of 5 and 9 is 45.
LCM (5, 9) = 45
Related Articles
Video Lesson on Applications of LCM
LCM of 5 and 9 Solved Example
The product of two numbers is 45. If their GCD is 1, what is their LCM?
Given: GCD = 1
Product of numbers = 45
LCM × GCD = product of numbers
LCM = Product/GCD = 45/1
Therefore, the LCM is 45.
The probable combination for the given case is LCM(5, 9) = 45.
Frequently Asked Questions on LCM of 5 and 9
What is the LCM of 5 and 9?
List the methods used to find the LCM of 5 and 9.
If the LCM of 9 and 5 is 45, Find its GCF.
Since the LCM of 9 and 5 = 45
⇒ 45 × GCF(9, 5) = 45
Therefore, the GCF = 45/45 = 1.
Comments