Least Common Multiple of 201 and 206

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 206 the smallest integer that is 41406 that is divisible by both numbers.

Least Common Multiple (LCM) of 201 and 206 is 41406.

LCM(201,206) = 41406

LCM of 201 and 206

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

LCM of:
and

Least Common Multiple of 201 and 206

LCM of 201 and 206 is 41406

Least common multiple can be found by multiplying the highest exponent prime factors of 201 and 206. First we will calculate the prime factors of 201 and 206.

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 206


2 206
103 103
1

Prime factors of 206 are 2,103. Prime factorization of 206 in exponential form is:

206 = 21×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 201 and 206.

LCM(201,206) = 21×31×671×1031
LCM(201,206) = 41406

Factors of 201

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

1, 3, 67, 201

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Least Common Multiple of 201 and 206 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 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

Properties of LCM 201 and 206

(i) The LCM of 206 and 201 is associative

LCM of 201 and 206 = LCM of 206 and 201

Related Least Common Multiples of 201

Related Least Common Multiples of 206

Frequently Asked Questions on LCM of 201 and 206

1. What is the LCM of 201 and 206?

Answer: LCM of 201 and 206 is 41406.

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 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.

4. How to Find the LCM of 201 and 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.