LCM of 25 and 35 is 175. We know that the smallest common multiple of two or more numbers is represented as the least common multiple. The article LCM of Two Numbers is designed by experts with proper care to provide the best reference guide for students. Following this article in a detailed manner will undoubtedly help students to score good marks in exams. Let us learn in detail how to determine the least common multiple of 25 and 35 with simple steps in this article.
What is LCM of 25 and 35?
The answer to this question is 175.
How to Find LCM of 25 and 35?
We can find the LCM of 25 and 35 using the following methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 25 and 35 Using Prime Factorisation Method
By prime factorisation method, we can write 25 and 35 as the product of prime numbers, such that;
25 = 5 × 5
35 = 5 × 7
LCM (25, 35) = 5 × 5 × 7 = 175
LCM of 25 and 35 Using Division Method
In this method, to find the LCM of 25 and 35, we divide the numbers 25 and 35 by their prime factors until we get the result as one in the complete row. The product of these divisors denotes the least common multiple of 25 and 35. This can be shown as below.
| 5 | 25 | 35 |
| 5 | 5 | 7 |
| 7 | 1 | 7 |
| x | 1 | 1 |
No more further division can be done.
Hence, LCM (25, 35) = 5 × 5 × 7 = 175
LCM of 25 and 35 Using Listing the Multiples
Here we list out the multiples of 25 and 35 to find their least common multiple as shown below:
| Multiples of 25 | Multiples of 35 |
| 25 | 35 |
| 50 | 70 |
| 75 | 105 |
| 100 | 140 |
| 125 | 175 |
| 150 | 210 |
| 175 | 245 |
| 200 | 280 |
| 225 | 315 |
LCM (25, 35) = 175
Related Articles
Prime Factorization and Division Method for LCM and HCF
Video Lesson on Applications of LCM
Solved Examples
Q. 1: The GCD and LCM of two numbers are 5 and 175. If one number is 35, calculate the other number.
Solution: Let the other number be n
We know that,
GCD × LCM = 35 × n
n = (GCD × LCM)/35
n = (5 × 175)/35
n = 25
Hence the other number is 25.
Q. 2: How do you find the LCM of 25 and 35 using the division method?
Solution: We find the LCM of 25 and 35 by division method as below
| 5 | 25 | 35 |
| 5 | 5 | 7 |
| 7 | 1 | 7 |
| x | 1 | 1 |
LCM (25, 35) = 5 × 5 × 7 = 175
Hence the least common multiple of 25 and 35 by division method is 175.
Frequently Asked Questions on LCM of 25 and 35
What is the LCM of 25 and 35?
Is the LCM of 25 and 35 the same as the HCF of 25 and 35?
What are the common prime factors of 25 and 35?
Find the GCF is the LCM of 25 and 35 is 175.
LCM × GCF = 25 × 35
Here LCM = 175
175 × GCF = 25 × 35
GCF = 5
Hence the GCF is 5
Name the methods used to determine the LCM of 25 and 35.
The methods used to determine the LCM of 25 and 35 are
Prime Factorisation
Division Method
Listing the Multiples
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