Least Common Multiple of 3180 and 3187

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 3187 the smallest integer that is 10134660 that is divisible by both numbers.

Least Common Multiple (LCM) of 3180 and 3187 is 10134660.

LCM(3180,3187) = 10134660

LCM of 3180 and 3187

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

LCM of:
and

Least Common Multiple of 3180 and 3187

LCM of 3180 and 3187 is 10134660

Least common multiple can be found by multiplying the highest exponent prime factors of 3180 and 3187. First we will calculate the prime factors of 3180 and 3187.

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 3187


3187 3187
1

Prime factors of 3187 are 3187. Prime factorization of 3187 in exponential form is:

3187 = 31871

Now multiplying the highest exponent prime factors to calculate the LCM of 3180 and 3187.

LCM(3180,3187) = 22×31×51×531×31871
LCM(3180,3187) = 10134660

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 3187

List of positive integer factors of 3187 that divides 3187 without a remainder.

1, 3187

Least Common Multiple of 3180 and 3187 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 3187, than apply into the LCM equation.

GCF(3180,3187) = 1
LCM(3180,3187) = ( 3180 × 3187) / 1
LCM(3180,3187) = 10134660 / 1
LCM(3180,3187) = 10134660

Properties of LCM 3180 and 3187

(i) The LCM of 3187 and 3180 is associative

LCM of 3180 and 3187 = LCM of 3187 and 3180

Related Least Common Multiples of 3180

Related Least Common Multiples of 3187

Frequently Asked Questions on LCM of 3180 and 3187

1. What is the LCM of 3180 and 3187?

Answer: LCM of 3180 and 3187 is 10134660.

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 3187?

Answer: Factors of 3187 are 1, 3187. There are 2 integers that are factors of 3187. The greatest factor of 3187 is 3187.

4. How to Find the LCM of 3180 and 3187?

Answer:

Least Common Multiple of 3180 and 3187 = 10134660

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 3187

3187 = 3187

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

LCM = 10134660 = 2 x 2 x 3 x 5 x 53 x 3187

Step 4: Therefore, the least common multiple of 3180 and 3187 is 10134660.