LCM of 9 and 25 is 225. In Maths, the LCM of any two numbers is the value which is evenly divisible by the given two numbers. Among all common multiples of 9 and 25, the LCM of 9 and 25 is the smallest value. (9, 18, 27, 36, 45, 54, 63, etc.) and (25, 50, 75, 100, 125, 150, etc.) respectively are the first few multiples of 9 and 25. Prime factorization, division, and listing multiples are the three most frequent methods for calculating the LCM of 9 and 25.
Also read: Least common multiple
What is LCM of 9 and 25?
The answer to this question is 225. The LCM of 9 and 25 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 9 and 25, is the smallest positive integer 225 which is divisible by both 9 and 25 with no remainder.
How to Find LCM of 9 and 25?
LCM of 9 and 25 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 9 and 25 Using Prime Factorisation Method
The prime factorisation of 9 and 25, respectively, is given by:
9 = (3 × 3) = 32 and
25 = (5 × 5) = 52
LCM (9, 25) = 225
LCM of 9 and 25 Using Division Method
We’ll divide the numbers (9, 25) by their prime factors to get the LCM of 9 and 25 using the division method (preferably common). The LCM of 9 and 25 is calculated by multiplying these divisors.
| 3 | 9 | 25 |
| 3 | 3 | 25 |
| 5 | 1 | 25 |
| 5 | 1 | 5 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (9, 25) = 225
LCM of 9 and 25 Using Listing the Multiples
To calculate the LCM of 9 and 25 by listing out the common multiples, list the multiples as shown below
| Multiples of 9 | Multiples of 25 |
| 9 | 25 |
| 18 | 50 |
| 27 | 75 |
| …… | ….. |
| 225 | 225 |
The smallest common multiple of 9 and 25 is 225.
Therefore LCM (9, 25) = 225
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Video Lesson on Applications of LCM
LCM of 9 and 25 Solved Example
Question: The product of two numbers is 225. If their GCD is 1, what is their LCM?
Solution:
Given: GCD = 1
product of numbers = 225
∵ LCM × GCD = product of numbers
⇒ LCM = Product/GCD = 225/1
Therefore, the LCM is 225.
The probable combination for the given case is LCM(9, 25) = 225.
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