LCM of 56 and 72 is 504. LCM is 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 56 and 72. The answer is 504. 504 is divisible by both 56 and 72. Even if 1008 is divisible by 56 and 72, however, it is not the LCM for 56 and 72. The smaller number than 144 is 504 which is divisible by both 56 and 72. Hence 504 is the Least Common Multiple for 56 and 72. You can refer to LCM with Examples for better understanding.
What is LCM of 56 and 72
The Least Common Multiple or Lowest Common Multiple of 56 and 72 is 504.
How to Find LCM of 56 and 72?
LCM of 56 and 72 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 56 and 72 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 56 and 72 can be expressed as;
56 = 2 × 2 × 2 × 7
72 = 2 × 2 × 2 × 3 × 3
LCM (56, 72) = 2 × 2 × 2 × 3 × 3 × 7 = 504
LCM of 56 and 72 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 |
56 |
72 |
|
2 |
28 |
36 |
|
2 |
14 |
18 |
|
3 |
7 |
9 |
|
3 |
7 |
3 |
|
7 |
7 |
1 |
|
x |
1 |
1 |
LCM (56, 72) = 2 × 2 × 2 × 3 × 3 × 7 = 504
LCM of 56 and 72 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 56 and 72
Multiples of 56:
56, 112, 168, 224, 280, 336, 392, 448, 504, 560, 616….
Multiples of 72:
72, 144, 216, 288, 360, 432, 504, 576, 648…
LCM (56, 72) = 504
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 56 and 72?
Answer: 504 is the smallest number that is divisible by both 56 and 72.
What is the LCM of 2, 4, 56 and 72?
Answer: The LCM of 2, 4, 56 and 72 is 504 as 2 and 4 are both factors of 56 and 72 .
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