LCM of 2 and 4 | How to Find LCM of 2 and 4 (2024)

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.

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.

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

Video Lesson on Applications of LCM

LCM of 2 and 4 Solved Example

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.

Frequently Asked Questions on LCM of 2 and 4

What is the LCM of 2 and 4?

The LCM of 2 and 4 is 4. To find the least common multiple of 2 and 4, we need to find the multiples of 2 and 4 (multiples of 2 = 2, 4, 6, 8; multiples of 4 = 4, 8, 12, 16) and choose the smallest multiple that is exactly divisible by 2 and 4, i.e., 4.

List the methods used to find the LCM of 2 and 4.

The methods used to find the LCM of 2 and 4 are the Prime Factorization Method, Division Method and Listing multiples.

How to Find the LCM of 2 and 4 by Prime Factorization?

To find the LCM of 2 and 4 using prime factorization, we will find the prime factors, (2 = 2) and (4 = 2 × 2). LCM of 2 and 4 is the product of prime factors raised to their respective highest exponent among the numbers 2 and 4. LCM of 2, 4 = 22 = 4.