LCM of 25 and 65 is 325. The Least Common Multiple or Lowest Common Multiple known as LCM is the smallest numeral that is divisible by the given numbers. In the given set of numbers 25 and 65, 325 is the first(least or smallest) number that is common in the set of multiples of 25 and 65. Even 650 is a common multiple of 25 and 65, however it is not the least or the smallest common multiple. The LCM synonymously known as LCD, Least Common Divisor for 25 and 65 is 325. You can read more on LCM for further details.
What is LCM of 25 and 65
The Least Common Multiple or Lowest Common Multiple of 25 and 65 is 325.
How to Find LCM of 25 and 65?
LCM of 25 and 65 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 25 and 65 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers 25 and 65 can be expressed as;
25 = 5 × 5
65 = 5 × 13
5 is the common factor of 25 and 65 along with the other factors of 25 and 65 are multiplied to get the LCM.
LCM (25, 65) = 5 × 5 × 13 = 325
LCM of 25 and 65 Using Division Method
In the Division Method, 25 and 65 are divided together by the same prime factors. Once there are no common prime divisors, division is completed with other prime divisors. The product of the common and other prime divisors forms the LCM.
|
5 |
25 |
65 |
|
5 |
5 |
13 |
|
13 |
1 |
13 |
|
× |
1 |
1 |
Hence, LCM (25, 65) = 5 × 5 × 13 = 325
LCM of 25 and 65 Using Listing the Multiples
By listing all the multiples of 25 and 65, we can identify the first common multiple, which is the LCM. Below is the list of multiples for 25 and 65
Multiples of 25:
25, 50, 75, 100, 125, 150, 175, 200, 225, 250, 275, 300, 325, 350, 375….
Multiples of 65:
65, 130, 195, 260, 325, 390, 455,….
LCM (25, 65) = 325
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 25 and 65?
Answer: 325 is the smallest number that is divisible by both 25 and 65.
What is the LCM for 5, 25 and 65?
Answer: LCM for 5, 25 and 65 is 325 as 5 is the factor of 25 and 65.
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