Least Common Multiple of 3180 and 3186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3180 and 3186 the smallest integer that is 1688580 that is divisible by both numbers.

Least Common Multiple (LCM) of 3180 and 3186 is 1688580.

LCM(3180,3186) = 1688580

LCM of 3180 and 3186

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

LCM of:
and

Least Common Multiple of 3180 and 3186

LCM of 3180 and 3186 is 1688580

Least common multiple can be found by multiplying the highest exponent prime factors of 3180 and 3186. First we will calculate the prime factors of 3180 and 3186.

Prime Factorization of 3180


2 3180
2 1590
3 795
5 265
53 53
1

Prime factors of 3180 are 2, 3, 5,53. Prime factorization of 3180 in exponential form is:

3180 = 22×31×51×531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3180 and 3186.

LCM(3180,3186) = 22×33×51×531×591
LCM(3180,3186) = 1688580

Factors of 3180

List of positive integer factors of 3180 that divides 3180 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 53, 60, 106, 159, 212, 265, 318, 530, 636, 795, 1060, 1590, 3180

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

Least Common Multiple of 3180 and 3186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3180 and 3186, than apply into the LCM equation.

GCF(3180,3186) = 6
LCM(3180,3186) = ( 3180 × 3186) / 6
LCM(3180,3186) = 10131480 / 6
LCM(3180,3186) = 1688580

Properties of LCM 3180 and 3186

(i) The LCM of 3186 and 3180 is associative

LCM of 3180 and 3186 = LCM of 3186 and 3180

Related Least Common Multiples of 3180

Related Least Common Multiples of 3186

Frequently Asked Questions on LCM of 3180 and 3186

1. What is the LCM of 3180 and 3186?

Answer: LCM of 3180 and 3186 is 1688580.

2. What are the Factors of 3180?

Answer: Factors of 3180 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 53, 60, 106, 159, 212, 265, 318, 530, 636, 795, 1060, 1590, 3180. There are 24 integers that are factors of 3180. The greatest factor of 3180 is 3180.

3. 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.

4. How to Find the LCM of 3180 and 3186?

Answer:

Least Common Multiple of 3180 and 3186 = 1688580

Step 1: Find the prime factorization of 3180

3180 = 2 x 2 x 3 x 5 x 53

Step 2: Find the prime factorization of 3186

3186 = 2 x 3 x 3 x 3 x 59

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

LCM = 1688580 = 2 x 2 x 3 x 3 x 3 x 5 x 53 x 59

Step 4: Therefore, the least common multiple of 3180 and 3186 is 1688580.