Least Common Multiple of 3195 and 3201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3195 and 3201 the smallest integer that is 3409065 that is divisible by both numbers.

Least Common Multiple (LCM) of 3195 and 3201 is 3409065.

LCM(3195,3201) = 3409065

LCM of 3195 and 3201

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

LCM of:
and

Least Common Multiple of 3195 and 3201

LCM of 3195 and 3201 is 3409065

Least common multiple can be found by multiplying the highest exponent prime factors of 3195 and 3201. First we will calculate the prime factors of 3195 and 3201.

Prime Factorization of 3195


3 3195
3 1065
5 355
71 71
1

Prime factors of 3195 are 3, 5,71. Prime factorization of 3195 in exponential form is:

3195 = 32×51×711

Prime Factorization of 3201


3 3201
11 1067
97 97
1

Prime factors of 3201 are 3, 11,97. Prime factorization of 3201 in exponential form is:

3201 = 31×111×971

Now multiplying the highest exponent prime factors to calculate the LCM of 3195 and 3201.

LCM(3195,3201) = 32×51×111×711×971
LCM(3195,3201) = 3409065

Factors of 3195

List of positive integer factors of 3195 that divides 3195 without a remainder.

1, 3, 5, 9, 15, 45, 71, 213, 355, 639, 1065, 3195

Factors of 3201

List of positive integer factors of 3201 that divides 3201 without a remainder.

1, 3, 11, 33, 97, 291, 1067, 3201

Least Common Multiple of 3195 and 3201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3195 and 3201, than apply into the LCM equation.

GCF(3195,3201) = 3
LCM(3195,3201) = ( 3195 × 3201) / 3
LCM(3195,3201) = 10227195 / 3
LCM(3195,3201) = 3409065

Properties of LCM 3195 and 3201

(i) The LCM of 3201 and 3195 is associative

LCM of 3195 and 3201 = LCM of 3201 and 3195

Related Least Common Multiples of 3195

Related Least Common Multiples of 3201

Frequently Asked Questions on LCM of 3195 and 3201

1. What is the LCM of 3195 and 3201?

Answer: LCM of 3195 and 3201 is 3409065.

2. What are the Factors of 3195?

Answer: Factors of 3195 are 1, 3, 5, 9, 15, 45, 71, 213, 355, 639, 1065, 3195. There are 12 integers that are factors of 3195. The greatest factor of 3195 is 3195.

3. What are the Factors of 3201?

Answer: Factors of 3201 are 1, 3, 11, 33, 97, 291, 1067, 3201. There are 8 integers that are factors of 3201. The greatest factor of 3201 is 3201.

4. How to Find the LCM of 3195 and 3201?

Answer:

Least Common Multiple of 3195 and 3201 = 3409065

Step 1: Find the prime factorization of 3195

3195 = 3 x 3 x 5 x 71

Step 2: Find the prime factorization of 3201

3201 = 3 x 11 x 97

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

LCM = 3409065 = 3 x 3 x 5 x 11 x 71 x 97

Step 4: Therefore, the least common multiple of 3195 and 3201 is 3409065.