LCM of 8 and 36 is 72. 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 36. The answer is 72. 72 is divisible by both 8 and 36. Even 144 is divisible by 8 and 36, however it is not the LCM for 8 and 36. The smaller number than 144 is 72 which is divisible by both 8 and 36. Hence 72 is the Least Common Multiple for 8 and 36. You can refer to LCM with Examples for better understanding.
What is LCM of 8 and 36
The Least Common Multiple or Lowest Common Multiple of 8 and 36 is 72.
How to Find LCM of 8 and 36?
LCM of 8 and 36 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 8 and 36 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 8 and 36 can be expressed as;
8 = 2 × 2 × 2
36 = 2 × 2 × 3 × 3
LCM (8, 36) = 2 × 2 × 2 × 3 × 3 = 72
LCM of 8 and 36 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 |
36 |
|
2 |
4 |
18 |
|
2 |
2 |
9 |
|
3 |
1 |
9 |
|
3 |
1 |
3 |
|
x |
1 |
1 |
LCM (8, 36) = 2 × 2 × 2 × 3 × 3 = 72
LCM of 8 and 36 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 36
|
Multiples of 8 |
Multiples of 36 |
|
8 |
36 |
|
16 |
72 |
|
24 |
108 |
|
32 |
144 |
|
40 |
180 |
|
48 |
216 |
|
56 |
252 |
|
64 |
288 |
|
72 |
324 |
|
80 |
360 |
LCM (8, 36) = 72
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 8 and 36?
Answer: 72 is the smallest number that is divisible by both 8 and 36.
What is the LCM of 2, 4, 8 and 36?
Answer: The LCM of 2, 4, 8 and 36 is 72 as 2 and 4 are factors of 8 and 36.
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