Least Common Multiple of 3189 and 3190

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 3190 the smallest integer that is 10172910 that is divisible by both numbers.

Least Common Multiple (LCM) of 3189 and 3190 is 10172910.

LCM(3189,3190) = 10172910

LCM of 3189 and 3190

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

LCM of:
and

Least Common Multiple of 3189 and 3190

LCM of 3189 and 3190 is 10172910

Least common multiple can be found by multiplying the highest exponent prime factors of 3189 and 3190. First we will calculate the prime factors of 3189 and 3190.

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 3190


2 3190
5 1595
11 319
29 29
1

Prime factors of 3190 are 2, 5, 11,29. Prime factorization of 3190 in exponential form is:

3190 = 21×51×111×291

Now multiplying the highest exponent prime factors to calculate the LCM of 3189 and 3190.

LCM(3189,3190) = 21×31×51×111×291×10631
LCM(3189,3190) = 10172910

Factors of 3189

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

1, 3, 1063, 3189

Factors of 3190

List of positive integer factors of 3190 that divides 3190 without a remainder.

1, 2, 5, 10, 11, 22, 29, 55, 58, 110, 145, 290, 319, 638, 1595, 3190

Least Common Multiple of 3189 and 3190 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 3190, than apply into the LCM equation.

GCF(3189,3190) = 1
LCM(3189,3190) = ( 3189 × 3190) / 1
LCM(3189,3190) = 10172910 / 1
LCM(3189,3190) = 10172910

Properties of LCM 3189 and 3190

(i) The LCM of 3190 and 3189 is associative

LCM of 3189 and 3190 = LCM of 3190 and 3189

Related Least Common Multiples of 3189

Related Least Common Multiples of 3190

Frequently Asked Questions on LCM of 3189 and 3190

1. What is the LCM of 3189 and 3190?

Answer: LCM of 3189 and 3190 is 10172910.

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 3190?

Answer: Factors of 3190 are 1, 2, 5, 10, 11, 22, 29, 55, 58, 110, 145, 290, 319, 638, 1595, 3190. There are 16 integers that are factors of 3190. The greatest factor of 3190 is 3190.

4. How to Find the LCM of 3189 and 3190?

Answer:

Least Common Multiple of 3189 and 3190 = 10172910

Step 1: Find the prime factorization of 3189

3189 = 3 x 1063

Step 2: Find the prime factorization of 3190

3190 = 2 x 5 x 11 x 29

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

LCM = 10172910 = 2 x 3 x 5 x 11 x 29 x 1063

Step 4: Therefore, the least common multiple of 3189 and 3190 is 10172910.