Least Common Multiple of 7180 and 7185

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 7185 the smallest integer that is 10317660 that is divisible by both numbers.

Least Common Multiple (LCM) of 7180 and 7185 is 10317660.

LCM(7180,7185) = 10317660

LCM of 7180 and 7185

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

LCM of:
and

Least Common Multiple of 7180 and 7185

LCM of 7180 and 7185 is 10317660

Least common multiple can be found by multiplying the highest exponent prime factors of 7180 and 7185. First we will calculate the prime factors of 7180 and 7185.

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 7185


3 7185
5 2395
479 479
1

Prime factors of 7185 are 3, 5,479. Prime factorization of 7185 in exponential form is:

7185 = 31×51×4791

Now multiplying the highest exponent prime factors to calculate the LCM of 7180 and 7185.

LCM(7180,7185) = 22×31×51×3591×4791
LCM(7180,7185) = 10317660

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 7185

List of positive integer factors of 7185 that divides 7185 without a remainder.

1, 3, 5, 15, 479, 1437, 2395, 7185

Least Common Multiple of 7180 and 7185 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 7185, than apply into the LCM equation.

GCF(7180,7185) = 5
LCM(7180,7185) = ( 7180 × 7185) / 5
LCM(7180,7185) = 51588300 / 5
LCM(7180,7185) = 10317660

Properties of LCM 7180 and 7185

(i) The LCM of 7185 and 7180 is associative

LCM of 7180 and 7185 = LCM of 7185 and 7180

Related Least Common Multiples of 7180

Related Least Common Multiples of 7185

Frequently Asked Questions on LCM of 7180 and 7185

1. What is the LCM of 7180 and 7185?

Answer: LCM of 7180 and 7185 is 10317660.

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 7185?

Answer: Factors of 7185 are 1, 3, 5, 15, 479, 1437, 2395, 7185. There are 8 integers that are factors of 7185. The greatest factor of 7185 is 7185.

4. How to Find the LCM of 7180 and 7185?

Answer:

Least Common Multiple of 7180 and 7185 = 10317660

Step 1: Find the prime factorization of 7180

7180 = 2 x 2 x 5 x 359

Step 2: Find the prime factorization of 7185

7185 = 3 x 5 x 479

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

LCM = 10317660 = 2 x 2 x 3 x 5 x 359 x 479

Step 4: Therefore, the least common multiple of 7180 and 7185 is 10317660.