LCM of 25 and 30 is 150. The LCM of any two integers in mathematics is the value that is evenly divisible by the two values. The smallest number among all frequent multiples of 25 and 30 is the LCM of 25 and 30. (25, 50, 75, 100, 125, 150, etc.) and (30, 60, 90, 120, 150, 180, 210, etc.) are the first few multiples of 25 and 30. To find the LCM of 25 and 30, there are three typical methods: prime factorization, listing multiples, and division.
Also read: Least common multiple
What is LCM of 25 and 30?
The answer to this question is 150. The LCM of 25 and 30 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 25 and 30, is the smallest positive integer 150 which is divisible by both 25 and 30 with no remainder.
How to Find LCM of 25 and 30?
LCM of 25 and 30 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 25 and 30 Using Prime Factorisation Method
The prime factorisation of 25 and 30, respectively, is given by:
25 = (5 × 5) = 52 andÂ
30 = (2 × 3 × 5) = 21 × 31 × 51
LCM (24, 36) = 60
LCM of 25 and 30 Using Division Method
We’ll divide the numbers (25, 30) by their prime factors to get the LCM of 25 and 30 using the division method (preferably common). The LCM of 25 and 30 is calculated by multiplying these divisors.
| 2 | 25 | 30 |
| 3 | 25 | 15 |
| 5 | 25 | 5 |
| 5 | 5 | 1 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (25, 30) = 150
LCM of 25 and 30 Using Listing the Multiples
To calculate the LCM of 25 and 30 by listing out the common multiples, list the multiples as shown below
| Multiples of 25 | Multiples of 30 |
| 25 | 30 |
| 50 | 60 |
| 75 | 90 |
| 100 | 120 |
| 125 | 150 |
| 150 | 180 |
The smallest common multiple of 25 and 30 is 150.
LCM (25, 30) = 216
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LCM of 25 and 30 Solved Example
The product of two numbers is 750. If their GCD is 5, what is their LCM?
Given: GCD = 5
product of numbers = 750
LCM × GCD = product of numbers
LCM = Product/GCD = 750/5
Therefore, the LCM is 150.
The probable combination for the given case is LCM(25, 30) = 150.
Frequently Asked Questions on LCM of 25 and 30
What is the LCM of 25 and 30?
If the LCM of 30 and 25 is 150, Find its GCF.
Since the LCM of 30 and 25 = 150
⇒ 150 × GCF(30, 25) = 750
Therefore, the greatest common factor = 750/150 = 5.
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