Least Common Multiple of 201 and 208

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 208 the smallest integer that is 41808 that is divisible by both numbers.

Least Common Multiple (LCM) of 201 and 208 is 41808.

LCM(201,208) = 41808

LCM of 201 and 208

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

LCM of:
and

Least Common Multiple of 201 and 208

LCM of 201 and 208 is 41808

Least common multiple can be found by multiplying the highest exponent prime factors of 201 and 208. First we will calculate the prime factors of 201 and 208.

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 208


2 208
2 104
2 52
2 26
13 13
1

Prime factors of 208 are 2,13. Prime factorization of 208 in exponential form is:

208 = 24×131

Now multiplying the highest exponent prime factors to calculate the LCM of 201 and 208.

LCM(201,208) = 24×31×131×671
LCM(201,208) = 41808

Factors of 201

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

1, 3, 67, 201

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Least Common Multiple of 201 and 208 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 208, than apply into the LCM equation.

GCF(201,208) = 1
LCM(201,208) = ( 201 × 208) / 1
LCM(201,208) = 41808 / 1
LCM(201,208) = 41808

Properties of LCM 201 and 208

(i) The LCM of 208 and 201 is associative

LCM of 201 and 208 = LCM of 208 and 201

Related Least Common Multiples of 201

Related Least Common Multiples of 208

Frequently Asked Questions on LCM of 201 and 208

1. What is the LCM of 201 and 208?

Answer: LCM of 201 and 208 is 41808.

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 208?

Answer: Factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208. There are 10 integers that are factors of 208. The greatest factor of 208 is 208.

4. How to Find the LCM of 201 and 208?

Answer:

Least Common Multiple of 201 and 208 = 41808

Step 1: Find the prime factorization of 201

201 = 3 x 67

Step 2: Find the prime factorization of 208

208 = 2 x 2 x 2 x 2 x 13

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

LCM = 41808 = 2 x 2 x 2 x 2 x 3 x 13 x 67

Step 4: Therefore, the least common multiple of 201 and 208 is 41808.