LCM of 2 and 7 is 14. If you observe the common multiples of 2 and 7, there are 14, 28, 42, 56 and so on. Out of these common multiples, 14 is the least number or the smallest number that is common. Hence 14 is called the Least Common multiple or Lowest common multiple or simply LCM. The LCM is also known as LCD, Least Common Divisor for 2 and 7 is 14. You can refer to the LCM with Examples for more understanding.
What is LCM of 2 and 7
The Least Common Multiple or Lowest Common Multiple of 2 and 7 is 14.
How to Find LCM of 2 and 7?
LCM of 2 and 7 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 2 and 7 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 2 and 7 can be expressed as;
2 = 2 x 1
7 = 7 x 1
LCM (2, 7) = 2 x 7 = 14
LCM of 2 and 7 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 |
2 |
7 |
|
7 |
1 |
7 |
|
x |
1 |
1 |
Hence, LCM (2, 7) = 2 x 7 = 14
LCM of 2 and 7 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 2 and 7
|
Multiples of 2 |
Multiples of 7 |
|
2 |
7 |
|
4 |
14 |
|
6 |
21 |
|
8 |
28 |
|
10 |
35 |
|
12 |
42 |
|
14 |
49 |
LCM (2, 7) = 14
Related Articles
Video Lesson on Applications of LCM
Solved Examples
- What is the smallest number that is divisible by both 2 and 7?
Answer: 14 is the smallest number that is divisible by both 2 and 7.
2. What is the Greatest Common Divisor for 2 and 7?
Answer: Greatest Common Divisor for 2 and 7 is 1.
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