Least Common Multiple of 201 and 207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 201 and 207 the smallest integer that is 13869 that is divisible by both numbers.

Least Common Multiple (LCM) of 201 and 207 is 13869.

LCM(201,207) = 13869

LCM of 201 and 207

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 201 and 207

LCM of 201 and 207 is 13869

Least common multiple can be found by multiplying the highest exponent prime factors of 201 and 207. First we will calculate the prime factors of 201 and 207.

Prime Factorization of 201


3 201
67 67
1

Prime factors of 201 are 3,67. Prime factorization of 201 in exponential form is:

201 = 31×671

Prime Factorization of 207


3 207
3 69
23 23
1

Prime factors of 207 are 3,23. Prime factorization of 207 in exponential form is:

207 = 32×231

Now multiplying the highest exponent prime factors to calculate the LCM of 201 and 207.

LCM(201,207) = 32×231×671
LCM(201,207) = 13869

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Least Common Multiple of 201 and 207 with GCF Formula

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

Properties of LCM 201 and 207

(i) The LCM of 207 and 201 is associative

LCM of 201 and 207 = LCM of 207 and 201

Related Least Common Multiples of 201

Related Least Common Multiples of 207

Frequently Asked Questions on LCM of 201 and 207

1. What is the LCM of 201 and 207?

Answer: LCM of 201 and 207 is 13869.

2. 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.

3. 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.

4. How to Find the LCM of 201 and 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.