Given Numbers are 2, 6

We can find the LCM of 2, 6 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 2 and 6

Multiples of 2 =2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,

Multiples of 6 =6,12,18,24,30,36,42,48,54,60,66,72,78,84,90,96,102,

Now, get the least common multiple of 2, 6 which is 6

So, the LCM of 2, 6 is 6.

One method for determining the LCM of 2 and 6 is to compare the prime factorization of each number. You can find the prime factorization for each number by following the instructions below:

Here is 2's prime factorization:

Prime factors of 2 are 2.

2 = 2¹

And this is 6's prime factorization:

Prime factors of 6 are 2,3.

6 = 2¹×3¹

When comparing the prime factorization of these two numbers, look for the highest power to which each prime factor is raised. In this case, the following primary factors must be considered:2,3

2¹×3¹ = 6

This shows that the LCM of 2 and 6 is 6.

The first step in determining the Least Common Multiple of 2 and 6 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 2 and 6:

Lets look at the first ten multiples of these numbers, 2 and 6:

2,4,6,8,10,12,14,16,18,34 are the first ten multiples of 2.

6,12,18,24,30,36,42,48,54,102 are the first ten multiples of 6.

You can continue to list the multiples of these numbers until you find a match. Once you have found a match, or several matches, the Least Common Multiple is the smallest of these matches. The first matching multiple(s) of 2 and 6, for example, are 24, 34, and 96. 6 is the least common multiple since it is the smallest.

2 and 6 have an LCM of 6.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2 and 6, than apply into the LCM equation.

GCF(2,6) = 2
LCM(2,6) = ( 2 × 6) / 2
LCM(2,6) = 12 / 2
LCM(2,6) = 6

1. What is the LCM of 2 and 6?

The LCM of 2 and 6 is 6.

2. How to find the lowest common multiple of 2 and 6?

To find the lowest common multiple of 2 and 6, we have to get the multip;es of both numbers and identify the least common multiple in them which is 6.

3. What are the Factors of 2?

Answer: Factors of 2 are 1, 2. There are 2 integers that are factors of 2. The greatest factor of 2 is 2.

4. What are the Factors of 6?

Answer: Factors of 6 are 1, 2, 3, 6. There are 4 integers that are factors of 6. The greatest factor of 6 is 6.

Answer:

Least Common Multiple of 2 and 6 = 6

Step 1: Find the prime factorization of 2

2 = 2

Step 2: Find the prime factorization of 6

6 = 2 x 3

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 6 = 2 x 3

Step 4: Therefore, the least common multiple of 2 and 6 is 6.