Least Common Multiple of 195 and 201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 195 and 201 the smallest integer that is 13065 that is divisible by both numbers.

Least Common Multiple (LCM) of 195 and 201 is 13065.

LCM(195,201) = 13065

LCM of 195 and 201

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

LCM of:
and

Least Common Multiple of 195 and 201

LCM of 195 and 201 is 13065

Least common multiple can be found by multiplying the highest exponent prime factors of 195 and 201. First we will calculate the prime factors of 195 and 201.

Prime Factorization of 195


3 195
5 65
13 13
1

Prime factors of 195 are 3, 5,13. Prime factorization of 195 in exponential form is:

195 = 31×51×131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 195 and 201.

LCM(195,201) = 31×51×131×671
LCM(195,201) = 13065

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Factors of 201

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

1, 3, 67, 201

Least Common Multiple of 195 and 201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 195 and 201, than apply into the LCM equation.

GCF(195,201) = 3
LCM(195,201) = ( 195 × 201) / 3
LCM(195,201) = 39195 / 3
LCM(195,201) = 13065

Properties of LCM 195 and 201

(i) The LCM of 201 and 195 is associative

LCM of 195 and 201 = LCM of 201 and 195

Related Least Common Multiples of 195

Related Least Common Multiples of 201

Frequently Asked Questions on LCM of 195 and 201

1. What is the LCM of 195 and 201?

Answer: LCM of 195 and 201 is 13065.

2. What are the Factors of 195?

Answer: Factors of 195 are 1, 3, 5, 13, 15, 39, 65, 195. There are 8 integers that are factors of 195. The greatest factor of 195 is 195.

3. 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.

4. How to Find the LCM of 195 and 201?

Answer:

Least Common Multiple of 195 and 201 = 13065

Step 1: Find the prime factorization of 195

195 = 3 x 5 x 13

Step 2: Find the prime factorization of 201

201 = 3 x 67

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

LCM = 13065 = 3 x 5 x 13 x 67

Step 4: Therefore, the least common multiple of 195 and 201 is 13065.