LCM of 2 and 4 is 4. The LCM of any two integers in mathematics is the value that is evenly divisible by the two values. The smallest number among all common multiples of 2 and 4 is the LCM of 2 and 4. (2, 4, 6, 8, 10,… ) and (4, 8, 12, 16,… ) are the first few multiples of 2 and 4, respectively. To find the LCM of Two Numbers that is 2 and 4, there are three main methods: listing multiples, division method, and prime factorization.
Also read: Least common multiple
What is LCM of 2 and 4?
The answer to this question is 4. The LCM of 2 and 4 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 2 and 4, is the smallest positive integer 4 which is divisible by both 2 and 4 with no remainder.
How to Find LCM of 2 and 4?
LCM of 2 and 4 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 2 and 4 Using Prime Factorisation Method
The prime factorisation of 2 and 4, respectively, is given by:
2 = 2
4 = 2 x 2 = 2²
LCM (2, 4) = 4
LCM of 2 and 4 Using Division Method
We’ll divide the numbers (2, 4) by their prime factors to get the LCM of 2 and 4 using the division method (preferably common). The LCM of 2 and 4 is calculated by multiplying these divisors.
| 2 | 2 | 4 |
| 2 | 1 | 2 |
| 1 | 1 |
No further division can be done.Â
Hence, LCM (2, 4) = 4
LCM of 2 and 4 Using Listing the Multiples
To calculate the LCM of 2 and 4 by listing out the common multiples, list the multiples as shown below
| Multiples of 2 | Multiples of 4 |
| 2 | 4 |
| 4 | 8 |
| 6 | 12 |
| 8 | 16 |
| 10 | 20 |
The smallest common multiple of 2 and 4 is 4.
LCM (2, 4) = 4
Related Articles
- Prime Factorization and Division Method for LCM and HCF
- Prime Factors
- Properties of HCF and LCM
- LCM Formula
Video Lesson on Applications of LCM
LCM of 2 and 4 Solved ExampleÂ
Find the smallest number that is divisible by 2 and 4 exactly.
Solution:
The smallest number that is divisible by 2 and 4 exactly is their LCM.
Multiples of 2 and 4:
Multiples of 2 = 2, 4, 6, 8, 10, 12, 14, . . . .
Multiples of 4 = 4, 8, 12, 16, 20, 24, 28, . . . .
Therefore, the LCM of 2 and 4 is 4.
Comments