Least Common Multiple of 201 and 205

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 205 the smallest integer that is 41205 that is divisible by both numbers.

Least Common Multiple (LCM) of 201 and 205 is 41205.

LCM(201,205) = 41205

LCM of 201 and 205

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

LCM of:
and

Least Common Multiple of 201 and 205

LCM of 201 and 205 is 41205

Least common multiple can be found by multiplying the highest exponent prime factors of 201 and 205. First we will calculate the prime factors of 201 and 205.

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 205


5 205
41 41
1

Prime factors of 205 are 5,41. Prime factorization of 205 in exponential form is:

205 = 51×411

Now multiplying the highest exponent prime factors to calculate the LCM of 201 and 205.

LCM(201,205) = 31×51×411×671
LCM(201,205) = 41205

Factors of 201

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

1, 3, 67, 201

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Least Common Multiple of 201 and 205 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 205, than apply into the LCM equation.

GCF(201,205) = 1
LCM(201,205) = ( 201 × 205) / 1
LCM(201,205) = 41205 / 1
LCM(201,205) = 41205

Properties of LCM 201 and 205

(i) The LCM of 205 and 201 is associative

LCM of 201 and 205 = LCM of 205 and 201

Related Least Common Multiples of 201

Related Least Common Multiples of 205

Frequently Asked Questions on LCM of 201 and 205

1. What is the LCM of 201 and 205?

Answer: LCM of 201 and 205 is 41205.

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 205?

Answer: Factors of 205 are 1, 5, 41, 205. There are 4 integers that are factors of 205. The greatest factor of 205 is 205.

4. How to Find the LCM of 201 and 205?

Answer:

Least Common Multiple of 201 and 205 = 41205

Step 1: Find the prime factorization of 201

201 = 3 x 67

Step 2: Find the prime factorization of 205

205 = 5 x 41

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

LCM = 41205 = 3 x 5 x 41 x 67

Step 4: Therefore, the least common multiple of 201 and 205 is 41205.