Given Numbers are 201, 209

We can find the LCM of 201, 209 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 201 and 209

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

Multiples of 209 =209,418,627,836,1045,1254,1463,1672,1881,2090,2299,2508,2717,2926,3135,3344,3553,

Now, get the least common multiple of 201, 209 which is 42009

So, the LCM of 201, 209 is 42009.

One method for determining the LCM of 201 and 209 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 209's prime factorization:

Prime factors of 209 are 11,19.

209 = 11¹×19¹

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, 11,19

3¹×11¹×19¹×67¹ = 42009

This shows that the LCM of 201 and 209 is 42009.

The first step in determining the Least Common Multiple of 201 and 209 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 201 and 209:

Lets look at the first ten multiples of these numbers, 201 and 209:

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

209,418,627,836,1045,1254,1463,1672,1881,3553 are the first ten multiples of 209.

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 209, for example, are 2412, 3417, and 3344. 42009 is the least common multiple since it is the smallest.

201 and 209 have an LCM of 42009.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 201 and 209, than apply into the LCM equation.

GCF(201,209) = 1
LCM(201,209) = ( 201 × 209) / 1
LCM(201,209) = 42009 / 1
LCM(201,209) = 42009

1. What is the LCM of 201 and 209?

The LCM of 201 and 209 is 42009.

2. How to find the lowest common multiple of 201 and 209?

To find the lowest common multiple of 201 and 209, we have to get the multip;es of both numbers and identify the least common multiple in them which is 42009.

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 209?

Answer: Factors of 209 are 1, 11, 19, 209. There are 4 integers that are factors of 209. The greatest factor of 209 is 209.

Answer:

Least Common Multiple of 201 and 209 = 42009

Step 1: Find the prime factorization of 201

201 = 3 x 67

Step 2: Find the prime factorization of 209

209 = 11 x 19

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

LCM = 42009 = 3 x 11 x 19 x 67

Step 4: Therefore, the least common multiple of 201 and 209 is 42009.