Least Common Multiple of 3186 and 3188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3186 and 3188 the smallest integer that is 5078484 that is divisible by both numbers.

Least Common Multiple (LCM) of 3186 and 3188 is 5078484.

LCM(3186,3188) = 5078484

LCM of 3186 and 3188

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

LCM of:
and

Least Common Multiple of 3186 and 3188

LCM of 3186 and 3188 is 5078484

Least common multiple can be found by multiplying the highest exponent prime factors of 3186 and 3188. First we will calculate the prime factors of 3186 and 3188.

Prime Factorization of 3186


2 3186
3 1593
3 531
3 177
59 59
1

Prime factors of 3186 are 2, 3,59. Prime factorization of 3186 in exponential form is:

3186 = 21×33×591

Prime Factorization of 3188


2 3188
2 1594
797 797
1

Prime factors of 3188 are 2,797. Prime factorization of 3188 in exponential form is:

3188 = 22×7971

Now multiplying the highest exponent prime factors to calculate the LCM of 3186 and 3188.

LCM(3186,3188) = 22×33×591×7971
LCM(3186,3188) = 5078484

Factors of 3186

List of positive integer factors of 3186 that divides 3186 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 59, 118, 177, 354, 531, 1062, 1593, 3186

Factors of 3188

List of positive integer factors of 3188 that divides 3188 without a remainder.

1, 2, 4, 797, 1594, 3188

Least Common Multiple of 3186 and 3188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3186 and 3188, than apply into the LCM equation.

GCF(3186,3188) = 2
LCM(3186,3188) = ( 3186 × 3188) / 2
LCM(3186,3188) = 10156968 / 2
LCM(3186,3188) = 5078484

Properties of LCM 3186 and 3188

(i) The LCM of 3188 and 3186 is associative

LCM of 3186 and 3188 = LCM of 3188 and 3186

Related Least Common Multiples of 3186

Related Least Common Multiples of 3188

Frequently Asked Questions on LCM of 3186 and 3188

1. What is the LCM of 3186 and 3188?

Answer: LCM of 3186 and 3188 is 5078484.

2. What are the Factors of 3186?

Answer: Factors of 3186 are 1, 2, 3, 6, 9, 18, 27, 54, 59, 118, 177, 354, 531, 1062, 1593, 3186. There are 16 integers that are factors of 3186. The greatest factor of 3186 is 3186.

3. What are the Factors of 3188?

Answer: Factors of 3188 are 1, 2, 4, 797, 1594, 3188. There are 6 integers that are factors of 3188. The greatest factor of 3188 is 3188.

4. How to Find the LCM of 3186 and 3188?

Answer:

Least Common Multiple of 3186 and 3188 = 5078484

Step 1: Find the prime factorization of 3186

3186 = 2 x 3 x 3 x 3 x 59

Step 2: Find the prime factorization of 3188

3188 = 2 x 2 x 797

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

LCM = 5078484 = 2 x 2 x 3 x 3 x 3 x 59 x 797

Step 4: Therefore, the least common multiple of 3186 and 3188 is 5078484.