Least Common Multiple of 201 and 202

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 202 the smallest integer that is 40602 that is divisible by both numbers.

Least Common Multiple (LCM) of 201 and 202 is 40602.

LCM(201,202) = 40602

LCM of 201 and 202

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

LCM of:
and

Least Common Multiple of 201 and 202

LCM of 201 and 202 is 40602

Least common multiple can be found by multiplying the highest exponent prime factors of 201 and 202. First we will calculate the prime factors of 201 and 202.

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 202


2 202
101 101
1

Prime factors of 202 are 2,101. Prime factorization of 202 in exponential form is:

202 = 21×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 201 and 202.

LCM(201,202) = 21×31×671×1011
LCM(201,202) = 40602

Factors of 201

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

1, 3, 67, 201

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Least Common Multiple of 201 and 202 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 202, than apply into the LCM equation.

GCF(201,202) = 1
LCM(201,202) = ( 201 × 202) / 1
LCM(201,202) = 40602 / 1
LCM(201,202) = 40602

Properties of LCM 201 and 202

(i) The LCM of 202 and 201 is associative

LCM of 201 and 202 = LCM of 202 and 201

Related Least Common Multiples of 201

Related Least Common Multiples of 202

Frequently Asked Questions on LCM of 201 and 202

1. What is the LCM of 201 and 202?

Answer: LCM of 201 and 202 is 40602.

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 202?

Answer: Factors of 202 are 1, 2, 101, 202. There are 4 integers that are factors of 202. The greatest factor of 202 is 202.

4. How to Find the LCM of 201 and 202?

Answer:

Least Common Multiple of 201 and 202 = 40602

Step 1: Find the prime factorization of 201

201 = 3 x 67

Step 2: Find the prime factorization of 202

202 = 2 x 101

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

LCM = 40602 = 2 x 3 x 67 x 101

Step 4: Therefore, the least common multiple of 201 and 202 is 40602.