LCM of 8 and 32 is 32. LCM also known as Least Common multiple or Lowest common multiple is the smallest or the least positive integer that is divisible by the given set of numbers. Consider the example for finding the LCM of 8 and 32. The answer is 32. 32 is divisible by both 8 and 32. Even 64 is divisible by 8 and 32, however it is not the LCM for 8 and 32. The smaller number than 64 is 32 which is divisible by both 8 and 32. Hence 32 is the Least Common Multiple for 8 and 32. You can refer to LCM with Examples for better understanding.
What is LCM of 8 and 32
The Least Common Multiple or Lowest Common Multiple of 8 and 32 is 32.
How to Find LCM of 8 and 32?
LCM of 8 and 32 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 8 and 32 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 8 and 32 can be expressed as;
8 = 2 x 2 x 2
32 = 2 x 2 x 2 x 2 x 2
LCM (8, 32) = 2 x 2 x 2 x 2 x 2 = 32
LCM of 8 and 32 Using Division Method
In the Division Method, the given set of numbers are written in the same row separated by a comma. These numbers are divided with the smallest number that divides all, until no further division is possible or only when prime numbers are left.
|
2 |
8 |
32 |
|
2 |
4 |
16 |
|
2 |
2 |
8 |
|
2 |
1 |
4 |
|
2 |
1 |
2 |
|
x |
1 |
1 |
LCM (8, 32) = 2 x 2 x 2 x 2 x 2 = 32
LCM of 8 and 32 Using Listing the Multiples
By listing all the multiples of given numbers, we can identify the first/smallest/least common multiple, which is the LCM. Below is the list of multiples for 8 and 32
|
Multiples of 8 |
Multiples of 32 |
|
8 |
32 |
|
16 |
64 |
|
24 |
96 |
|
32 |
128 |
LCM (8, 32) = 32
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 8 and 32?
Answer: 32 is the smallest number that is divisible by both 8 and 32.
What is the LCM of 2, 4, 8 and 32?
Answer: The LCM of 2, 4, 8 and 32 is 32.
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