LCM of 25 and 16 is 400. The common multiple which is evenly divisible by 25 and 16 gives the LCM value. The least common multiple of 25 and 16 can be found by considering the common multiples obtained by the multiplication operation. (25, 50, 75, 100, 125, ….) and (16, 32, 48, 64, 80, 96,….) are the first few multiples of 25 and 16. Various methods such as division, prime factorisation and listing of multiples are used to determine the LCM.
Also read: Least common multiple
What is LCM of 25 and 16?
The answer to this question is 400. The LCM of 25 and 16 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 25 and 16, is the smallest positive integer 400 which is divisible by both 25 and 16 with no remainder.
How to Find LCM of 25 and 16?
LCM of 25 and 16 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 25 and 16 Using Prime Factorisation Method
The prime factorisation of 25 and 16, respectively, is given by:
25 = 5 x 5 = 5²
16 = 2 x 2 x 2 x 2 = 2⁴
LCM (25, 16) = 400
LCM of 25 and 16 Using Division Method
We’ll divide the numbers (25, 16) by their prime factors to get the LCM of 25 and 16 using the division method (preferably common). The LCM of 25 and 16 is calculated by multiplying these divisors.
|
2 |
25 |
16 |
|
2 |
25 |
8 |
|
2 |
25 |
4 |
|
2 |
25 |
2 |
|
5 |
25 |
1 |
|
5 |
5 |
1 |
|
x |
1 |
1 |
No further division can be done.
Hence, LCM (25, 16) = 400
LCM of 25 and 16 Using Listing the Multiples
To calculate the LCM of 25 and 16 by listing out the common multiples, list the multiples as shown below:
Multiples of 25 = 25, 50, 75, 100, 125, 150, 175, 200, 225, 250, 275, 300, 325, 350, 375, 400, ….
Multiples of 16 = 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192, 208, 224, 240, 256, 272, 288, 304, 320, 336, 352, 368, 384, 400, 416, …..
LCM (25, 16) = 400
Related Articles
Video Lesson on Applications of LCM
LCM of 25 and 16 Solved Examples
Question: What is the LCM if the product of two numbers is 400 and the GCD is 1?
Solution:
It is given that
Product of two numbers = 400
GCD = 1
We know that
LCM x GCD = Product of two numbers
LCM = Product/GCD
LCM = 400/1
LCM = 400
Hence, the LCM is 400.
Frequently Asked Questions on LCM of 25 and 16
Find the LCM of 25 and 16.
What methods can be used to find the LCM of 25 and 16?
Find the GCF if the LCM of 25 and 16 is 400.
LCM x GCF = 25 x 16
Given
LCM of 25 and 16 = 400
400 x GCF = 400
GCF = 400/400 = 1
Comments