LCM of 25 and 50 is 50. In Maths, the LCM of any two numbers is the value which is evenly divisible by the given two numbers. The smallest number among all common multiples of 25 and 50 is the LCM of 25 and 50. (25, 50, 75, 100, 125, 150, etc.) and (50, 100, 150, 200, 250, 300, etc.) are the first few multiples of 25 and 50, respectively. The LCM can be found easily by using various methods like prime factorisation, division and by listing the multiples.
Also read: Least common multiple
What is LCM of 25 and 50?
The answer to this question is 50. The LCM of 25 and 50 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 25 and 50, is the smallest positive integer 50 which is divisible by both 25 and 50 with no remainder.
How to Find LCM of 25 and 50?
LCM of 25 and 50 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 25 and 50 Using Prime Factorisation Method
The prime factorisation of 25 and 50, respectively, is given by:
25 = (5 × 5) = 52 and
50 = (2 × 5 × 5) = 21 × 52
LCM (24, 36) = 72
LCM of 25 and 50 Using Division Method
We’ll divide the numbers (25, 50) by their prime factors to get the LCM of 25 and 50 using the division method (preferably common). The LCM of 25 and 50 is calculated by multiplying these divisors.
| 2 | 25 | 50 |
| 5 | 25 | 25 |
| 5 | 5 | 5 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (25, 50) = 50
LCM of 25 and 50 Using Listing the Multiples
To calculate the LCM of 25 and 50 by listing out the common multiples, list the multiples as shown below
| Multiples of 25 | Multiples of 50 |
| 25 | 50 |
| 50 | 100 |
| 75 | 150 |
| 100 | 200 |
| 125 | 250 |
The smallest common multiple of 25 and 50 is 50.
Therefore LCM (25, 50) = 50
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LCM of 25 and 50 Solved Example
Question: The product of two numbers is 1250. If their GCD is 25, what is their LCM?
Solution:
Given: GCD = 25
product of numbers = 1250
∵ LCM × GCD = product of numbers
⇒ LCM = Product/GCD = 1250/25
Therefore, the LCM is 50.
The probable combination for the given case is LCM(25, 50) = 50.
Frequently Asked Questions on LCM of 25 and 50
What is the LCM of 25 and 50?
List the methods used to find the LCM of 25 and 50.
If the LCM of 50 and 25 is 50, Find its GCF.
Since the LCM of 50 and 25 = 50
⇒ 50 × GCF(50, 25) = 1250
Therefore, the GCF (greatest common factor) = 1250/50 = 25.
What is the Least Perfect Square Divisible by 25 and 50?
LCM of 25 and 50 = 2 × 5 × 5 [Incomplete pair(s): 2] ⇒ Least perfect square divisible by each 25 and 50 = LCM(25, 50) × 2 = 100 [Square root of 100 = √100 = ±10] Therefore, 100 is the required number.
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