Least Common Multiple of 3195 and 3203

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 3203 the smallest integer that is 10233585 that is divisible by both numbers.

Least Common Multiple (LCM) of 3195 and 3203 is 10233585.

LCM(3195,3203) = 10233585

LCM of 3195 and 3203

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

LCM of:
and

Least Common Multiple of 3195 and 3203

LCM of 3195 and 3203 is 10233585

Least common multiple can be found by multiplying the highest exponent prime factors of 3195 and 3203. First we will calculate the prime factors of 3195 and 3203.

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 3203


3203 3203
1

Prime factors of 3203 are 3203. Prime factorization of 3203 in exponential form is:

3203 = 32031

Now multiplying the highest exponent prime factors to calculate the LCM of 3195 and 3203.

LCM(3195,3203) = 32×51×711×32031
LCM(3195,3203) = 10233585

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 3203

List of positive integer factors of 3203 that divides 3203 without a remainder.

1, 3203

Least Common Multiple of 3195 and 3203 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 3203, than apply into the LCM equation.

GCF(3195,3203) = 1
LCM(3195,3203) = ( 3195 × 3203) / 1
LCM(3195,3203) = 10233585 / 1
LCM(3195,3203) = 10233585

Properties of LCM 3195 and 3203

(i) The LCM of 3203 and 3195 is associative

LCM of 3195 and 3203 = LCM of 3203 and 3195

Related Least Common Multiples of 3195

Related Least Common Multiples of 3203

Frequently Asked Questions on LCM of 3195 and 3203

1. What is the LCM of 3195 and 3203?

Answer: LCM of 3195 and 3203 is 10233585.

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 3203?

Answer: Factors of 3203 are 1, 3203. There are 2 integers that are factors of 3203. The greatest factor of 3203 is 3203.

4. How to Find the LCM of 3195 and 3203?

Answer:

Least Common Multiple of 3195 and 3203 = 10233585

Step 1: Find the prime factorization of 3195

3195 = 3 x 3 x 5 x 71

Step 2: Find the prime factorization of 3203

3203 = 3203

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

LCM = 10233585 = 3 x 3 x 5 x 71 x 3203

Step 4: Therefore, the least common multiple of 3195 and 3203 is 10233585.