LCM of 5 and 25 is 25. Students can grasp the method of finding the least common multiple of 5 and 25 from the common multiples. (5, 10, 15, 20, 25, 30, ….) and (25, 50, 75, 100, 125,….) are the multiples of 5 and 25. The LCM of two numbers 5 and 25 can be found using the prime factorisation methods, by listing the multiples and by division method. The subject experts prepare this article in an interesting way to provide students with quality materials for reference.
Also read: Least common multiple
What is LCM of 5 and 25?
The answer to this question is 25. The LCM of 5 and 25 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 5 and 25, is the smallest positive integer 25 which is divisible by both 5 and 25 with no remainder.
How to Find LCM of 5 and 25?
LCM of 5 and 25 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 5 and 25 Using Prime Factorisation Method
The prime factorisation of 5 and 25, respectively, is given by:
5 = 5¹
25 = 5 x 5 = 5²
LCM (5, 25) = 25
LCM of 5 and 25 Using Division Method
We’ll divide the numbers (5, 25) by their prime factors to get the LCM of 5 and 25 using the division method (preferably common). The LCM of 5 and 25 is calculated by multiplying these divisors.
| 5 | 5 | 25 |
| 5 | 1 | 5 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (5, 25) = 25
LCM of 5 and 25 Using Listing the Multiples
To calculate the LCM of 5 and 25 by listing out the common multiples, list the multiples as shown below
| Multiples of 5 | Multiples of 25 |
| 5 | 25 |
| 10 | 50 |
| 15 | 75 |
| 20 | 100 |
| 25 | 125 |
The smallest common multiple of 5 and 25 is 25.
Therefore LCM (5, 25) = 25
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LCM of 5 and 25 Solved Example
If the product of two numbers is 125 and the GCD is 5, find the LCM.
Solution:
It is given that
Product of two numbers = 125
GCD = 5
We know that
LCM x GCD = Product of two numbers
LCM = Product/GCD
LCM = 125/5
LCM = 25
Hence, the LCM is 25.
Frequently Asked Questions on LCM of 5 and 25
Using the prime factorisation, find the LCM of 5 and 25.
Using the prime factorisation
5 = 5¹
25 = 5 x 5 = 5²
LCM (5, 25) = 25
Write the methods used to find the LCM of 5 and 25.
Determine the GCF if the LCM of 5 and 25 is 25.
LCM x GCF = 5 x 25
Given
LCM of 5 and 25 = 25
25 x GCF = 125
GCF = 125/25 = 5
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