Given Numbers are 201, 206

We can find the LCM of 201, 206 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 201 and 206

Multiples of 201 =201,402,603,804,1005,1206,1407,1608,1809,2010,2211,2412,2613,2814,3015,3216,3417,

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

Now, get the least common multiple of 201, 206 which is 41406

So, the LCM of 201, 206 is 41406.

One method for determining the LCM of 201 and 206 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 201's prime factorization:

Prime factors of 201 are 3,67.

201 = 3¹×67¹

And this is 206's prime factorization:

Prime factors of 206 are 2,103.

206 = 2¹×103¹

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: 3,67, 2,103

2¹×3¹×67¹×103¹ = 41406

This shows that the LCM of 201 and 206 is 41406.

The first step in determining the Least Common Multiple of 201 and 206 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 201 and 206:

Lets look at the first ten multiples of these numbers, 201 and 206:

201,402,603,804,1005,1206,1407,1608,1809,3417 are the first ten multiples of 201.

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

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 201 and 206, for example, are 2412, 3417, and 3296. 41406 is the least common multiple since it is the smallest.

201 and 206 have an LCM of 41406.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 201 and 206, than apply into the LCM equation.

GCF(201,206) = 1
LCM(201,206) = ( 201 × 206) / 1
LCM(201,206) = 41406 / 1
LCM(201,206) = 41406

1. What is the LCM of 201 and 206?

The LCM of 201 and 206 is 41406.

2. How to find the lowest common multiple of 201 and 206?

To find the lowest common multiple of 201 and 206, we have to get the multip;es of both numbers and identify the least common multiple in them which is 41406.

3. What are the Factors of 201?

Answer: Factors of 201 are 1, 3, 67, 201. There are 4 integers that are factors of 201. The greatest factor of 201 is 201.

4. 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.

Answer:

Least Common Multiple of 201 and 206 = 41406

Step 1: Find the prime factorization of 201

201 = 3 x 67

Step 2: Find the prime factorization of 206

206 = 2 x 103

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

LCM = 41406 = 2 x 3 x 67 x 103

Step 4: Therefore, the least common multiple of 201 and 206 is 41406.