Least Common Multiple of 39195 and 39201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 39195 and 39201 the smallest integer that is 512161065 that is divisible by both numbers.

Least Common Multiple (LCM) of 39195 and 39201 is 512161065.

LCM(39195,39201) = 512161065

LCM of 39195 and 39201

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

LCM of:
and

Least Common Multiple of 39195 and 39201

LCM of 39195 and 39201 is 512161065

Least common multiple can be found by multiplying the highest exponent prime factors of 39195 and 39201. First we will calculate the prime factors of 39195 and 39201.

Prime Factorization of 39195


3 39195
3 13065
5 4355
13 871
67 67
1

Prime factors of 39195 are 3, 5, 13,67. Prime factorization of 39195 in exponential form is:

39195 = 32×51×131×671

Prime Factorization of 39201


3 39201
73 13067
179 179
1

Prime factors of 39201 are 3, 73,179. Prime factorization of 39201 in exponential form is:

39201 = 31×731×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 39195 and 39201.

LCM(39195,39201) = 32×51×131×671×731×1791
LCM(39195,39201) = 512161065

Factors of 39195

List of positive integer factors of 39195 that divides 39195 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 67, 117, 195, 201, 335, 585, 603, 871, 1005, 2613, 3015, 4355, 7839, 13065, 39195

Factors of 39201

List of positive integer factors of 39201 that divides 39201 without a remainder.

1, 3, 73, 179, 219, 537, 13067, 39201

Least Common Multiple of 39195 and 39201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39195 and 39201, than apply into the LCM equation.

GCF(39195,39201) = 3
LCM(39195,39201) = ( 39195 × 39201) / 3
LCM(39195,39201) = 1536483195 / 3
LCM(39195,39201) = 512161065

Properties of LCM 39195 and 39201

(i) The LCM of 39201 and 39195 is associative

LCM of 39195 and 39201 = LCM of 39201 and 39195

Related Least Common Multiples of 39195

Related Least Common Multiples of 39201

Frequently Asked Questions on LCM of 39195 and 39201

1. What is the LCM of 39195 and 39201?

Answer: LCM of 39195 and 39201 is 512161065.

2. What are the Factors of 39195?

Answer: Factors of 39195 are 1, 3, 5, 9, 13, 15, 39, 45, 65, 67, 117, 195, 201, 335, 585, 603, 871, 1005, 2613, 3015, 4355, 7839, 13065, 39195. There are 24 integers that are factors of 39195. The greatest factor of 39195 is 39195.

3. What are the Factors of 39201?

Answer: Factors of 39201 are 1, 3, 73, 179, 219, 537, 13067, 39201. There are 8 integers that are factors of 39201. The greatest factor of 39201 is 39201.

4. How to Find the LCM of 39195 and 39201?

Answer:

Least Common Multiple of 39195 and 39201 = 512161065

Step 1: Find the prime factorization of 39195

39195 = 3 x 3 x 5 x 13 x 67

Step 2: Find the prime factorization of 39201

39201 = 3 x 73 x 179

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

LCM = 512161065 = 3 x 3 x 5 x 13 x 67 x 73 x 179

Step 4: Therefore, the least common multiple of 39195 and 39201 is 512161065.