Given Numbers are 201, 207

We can find the LCM of 201, 207 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 201 and 207

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

Multiples of 207 =207,414,621,828,1035,1242,1449,1656,1863,2070,2277,2484,2691,2898,3105,3312,3519,

Now, get the least common multiple of 201, 207 which is 13869

So, the LCM of 201, 207 is 13869.

One method for determining the LCM of 201 and 207 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 207's prime factorization:

Prime factors of 207 are 3,23.

207 = 3²×23¹

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: 3,67,23

3²×23¹×67¹ = 13869

This shows that the LCM of 201 and 207 is 13869.

The first step in determining the Least Common Multiple of 201 and 207 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 201 and 207:

Lets look at the first ten multiples of these numbers, 201 and 207:

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

207,414,621,828,1035,1242,1449,1656,1863,3519 are the first ten multiples of 207.

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 207, for example, are 2412, 3417, and 3312. 13869 is the least common multiple since it is the smallest.

201 and 207 have an LCM of 13869.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 201 and 207, than apply into the LCM equation.

GCF(201,207) = 3
LCM(201,207) = ( 201 × 207) / 3
LCM(201,207) = 41607 / 3
LCM(201,207) = 13869

1. What is the LCM of 201 and 207?

The LCM of 201 and 207 is 13869.

2. How to find the lowest common multiple of 201 and 207?

To find the lowest common multiple of 201 and 207, we have to get the multip;es of both numbers and identify the least common multiple in them which is 13869.

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 207?

Answer: Factors of 207 are 1, 3, 9, 23, 69, 207. There are 6 integers that are factors of 207. The greatest factor of 207 is 207.

Answer:

Least Common Multiple of 201 and 207 = 13869

Step 1: Find the prime factorization of 201

201 = 3 x 67

Step 2: Find the prime factorization of 207

207 = 3 x 3 x 23

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

LCM = 13869 = 3 x 3 x 23 x 67

Step 4: Therefore, the least common multiple of 201 and 207 is 13869.