Least Common Multiple of 3189 and 3195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3189 and 3195 the smallest integer that is 3396285 that is divisible by both numbers.

Least Common Multiple (LCM) of 3189 and 3195 is 3396285.

LCM(3189,3195) = 3396285

LCM of 3189 and 3195

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

LCM of:
and

Least Common Multiple of 3189 and 3195

LCM of 3189 and 3195 is 3396285

Least common multiple can be found by multiplying the highest exponent prime factors of 3189 and 3195. First we will calculate the prime factors of 3189 and 3195.

Prime Factorization of 3189


3 3189
1063 1063
1

Prime factors of 3189 are 3,1063. Prime factorization of 3189 in exponential form is:

3189 = 31×10631

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3189 and 3195.

LCM(3189,3195) = 32×51×711×10631
LCM(3189,3195) = 3396285

Factors of 3189

List of positive integer factors of 3189 that divides 3189 without a remainder.

1, 3, 1063, 3189

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

Least Common Multiple of 3189 and 3195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3189 and 3195, than apply into the LCM equation.

GCF(3189,3195) = 3
LCM(3189,3195) = ( 3189 × 3195) / 3
LCM(3189,3195) = 10188855 / 3
LCM(3189,3195) = 3396285

Properties of LCM 3189 and 3195

(i) The LCM of 3195 and 3189 is associative

LCM of 3189 and 3195 = LCM of 3195 and 3189

Related Least Common Multiples of 3189

Related Least Common Multiples of 3195

Frequently Asked Questions on LCM of 3189 and 3195

1. What is the LCM of 3189 and 3195?

Answer: LCM of 3189 and 3195 is 3396285.

2. What are the Factors of 3189?

Answer: Factors of 3189 are 1, 3, 1063, 3189. There are 4 integers that are factors of 3189. The greatest factor of 3189 is 3189.

3. 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.

4. How to Find the LCM of 3189 and 3195?

Answer:

Least Common Multiple of 3189 and 3195 = 3396285

Step 1: Find the prime factorization of 3189

3189 = 3 x 1063

Step 2: Find the prime factorization of 3195

3195 = 3 x 3 x 5 x 71

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

LCM = 3396285 = 3 x 3 x 5 x 71 x 1063

Step 4: Therefore, the least common multiple of 3189 and 3195 is 3396285.