Given Numbers are 206, 213

We can find the LCM of 206, 213 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 206 and 213

Multiples of 206 =206,412,618,824,1030,1236,1442,1648,1854,2060,2266,2472,2678,2884,3090,3296,3502,

Multiples of 213 =213,426,639,852,1065,1278,1491,1704,1917,2130,2343,2556,2769,2982,3195,3408,3621,

Now, get the least common multiple of 206, 213 which is 43878

So, the LCM of 206, 213 is 43878.

One method for determining the LCM of 206 and 213 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 206's prime factorization:

Prime factors of 206 are 2,103.

206 = 2¹×103¹

And this is 213's prime factorization:

Prime factors of 213 are 3,71.

213 = 3¹×71¹

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: 2,103, 3,71

2¹×3¹×71¹×103¹ = 43878

This shows that the LCM of 206 and 213 is 43878.

The first step in determining the Least Common Multiple of 206 and 213 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 206 and 213:

Lets look at the first ten multiples of these numbers, 206 and 213:

206,412,618,824,1030,1236,1442,1648,1854,3502 are the first ten multiples of 206.

213,426,639,852,1065,1278,1491,1704,1917,3621 are the first ten multiples of 213.

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 206 and 213, for example, are 2472, 3502, and 3408. 43878 is the least common multiple since it is the smallest.

206 and 213 have an LCM of 43878.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 206 and 213, than apply into the LCM equation.

GCF(206,213) = 1
LCM(206,213) = ( 206 × 213) / 1
LCM(206,213) = 43878 / 1
LCM(206,213) = 43878

1. What is the LCM of 206 and 213?

The LCM of 206 and 213 is 43878.

2. How to find the lowest common multiple of 206 and 213?

To find the lowest common multiple of 206 and 213, we have to get the multip;es of both numbers and identify the least common multiple in them which is 43878.

3. What are the Factors of 206?

Answer: Factors of 206 are 1, 2, 103, 206. There are 4 integers that are factors of 206. The greatest factor of 206 is 206.

4. What are the Factors of 213?

Answer: Factors of 213 are 1, 3, 71, 213. There are 4 integers that are factors of 213. The greatest factor of 213 is 213.

Answer:

Least Common Multiple of 206 and 213 = 43878

Step 1: Find the prime factorization of 206

206 = 2 x 103

Step 2: Find the prime factorization of 213

213 = 3 x 71

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

LCM = 43878 = 2 x 3 x 71 x 103

Step 4: Therefore, the least common multiple of 206 and 213 is 43878.