Least Common Multiple of 7180 and 7188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7180 and 7188 the smallest integer that is 12902460 that is divisible by both numbers.

Least Common Multiple (LCM) of 7180 and 7188 is 12902460.

LCM(7180,7188) = 12902460

LCM of 7180 and 7188

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

LCM of:
and

Least Common Multiple of 7180 and 7188

LCM of 7180 and 7188 is 12902460

Least common multiple can be found by multiplying the highest exponent prime factors of 7180 and 7188. First we will calculate the prime factors of 7180 and 7188.

Prime Factorization of 7180


2 7180
2 3590
5 1795
359 359
1

Prime factors of 7180 are 2, 5,359. Prime factorization of 7180 in exponential form is:

7180 = 22×51×3591

Prime Factorization of 7188


2 7188
2 3594
3 1797
599 599
1

Prime factors of 7188 are 2, 3,599. Prime factorization of 7188 in exponential form is:

7188 = 22×31×5991

Now multiplying the highest exponent prime factors to calculate the LCM of 7180 and 7188.

LCM(7180,7188) = 22×31×51×3591×5991
LCM(7180,7188) = 12902460

Factors of 7180

List of positive integer factors of 7180 that divides 7180 without a remainder.

1, 2, 4, 5, 10, 20, 359, 718, 1436, 1795, 3590, 7180

Factors of 7188

List of positive integer factors of 7188 that divides 7188 without a remainder.

1, 2, 3, 4, 6, 12, 599, 1198, 1797, 2396, 3594, 7188

Least Common Multiple of 7180 and 7188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7180 and 7188, than apply into the LCM equation.

GCF(7180,7188) = 4
LCM(7180,7188) = ( 7180 × 7188) / 4
LCM(7180,7188) = 51609840 / 4
LCM(7180,7188) = 12902460

Properties of LCM 7180 and 7188

(i) The LCM of 7188 and 7180 is associative

LCM of 7180 and 7188 = LCM of 7188 and 7180

Related Least Common Multiples of 7180

Related Least Common Multiples of 7188

Frequently Asked Questions on LCM of 7180 and 7188

1. What is the LCM of 7180 and 7188?

Answer: LCM of 7180 and 7188 is 12902460.

2. What are the Factors of 7180?

Answer: Factors of 7180 are 1, 2, 4, 5, 10, 20, 359, 718, 1436, 1795, 3590, 7180. There are 12 integers that are factors of 7180. The greatest factor of 7180 is 7180.

3. What are the Factors of 7188?

Answer: Factors of 7188 are 1, 2, 3, 4, 6, 12, 599, 1198, 1797, 2396, 3594, 7188. There are 12 integers that are factors of 7188. The greatest factor of 7188 is 7188.

4. How to Find the LCM of 7180 and 7188?

Answer:

Least Common Multiple of 7180 and 7188 = 12902460

Step 1: Find the prime factorization of 7180

7180 = 2 x 2 x 5 x 359

Step 2: Find the prime factorization of 7188

7188 = 2 x 2 x 3 x 599

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

LCM = 12902460 = 2 x 2 x 3 x 5 x 359 x 599

Step 4: Therefore, the least common multiple of 7180 and 7188 is 12902460.