Least Common Multiple of 7175 and 7180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7175 and 7180 the smallest integer that is 10303300 that is divisible by both numbers.

Least Common Multiple (LCM) of 7175 and 7180 is 10303300.

LCM(7175,7180) = 10303300

LCM of 7175 and 7180

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

LCM of:
and

Least Common Multiple of 7175 and 7180

LCM of 7175 and 7180 is 10303300

Least common multiple can be found by multiplying the highest exponent prime factors of 7175 and 7180. First we will calculate the prime factors of 7175 and 7180.

Prime Factorization of 7175


5 7175
5 1435
7 287
41 41
1

Prime factors of 7175 are 5, 7,41. Prime factorization of 7175 in exponential form is:

7175 = 52×71×411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7175 and 7180.

LCM(7175,7180) = 22×52×71×411×3591
LCM(7175,7180) = 10303300

Factors of 7175

List of positive integer factors of 7175 that divides 7175 without a remainder.

1, 5, 7, 25, 35, 41, 175, 205, 287, 1025, 1435, 7175

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

Least Common Multiple of 7175 and 7180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7175 and 7180, than apply into the LCM equation.

GCF(7175,7180) = 5
LCM(7175,7180) = ( 7175 × 7180) / 5
LCM(7175,7180) = 51516500 / 5
LCM(7175,7180) = 10303300

Properties of LCM 7175 and 7180

(i) The LCM of 7180 and 7175 is associative

LCM of 7175 and 7180 = LCM of 7180 and 7175

Related Least Common Multiples of 7175

Related Least Common Multiples of 7180

Frequently Asked Questions on LCM of 7175 and 7180

1. What is the LCM of 7175 and 7180?

Answer: LCM of 7175 and 7180 is 10303300.

2. What are the Factors of 7175?

Answer: Factors of 7175 are 1, 5, 7, 25, 35, 41, 175, 205, 287, 1025, 1435, 7175. There are 12 integers that are factors of 7175. The greatest factor of 7175 is 7175.

3. 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.

4. How to Find the LCM of 7175 and 7180?

Answer:

Least Common Multiple of 7175 and 7180 = 10303300

Step 1: Find the prime factorization of 7175

7175 = 5 x 5 x 7 x 41

Step 2: Find the prime factorization of 7180

7180 = 2 x 2 x 5 x 359

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

LCM = 10303300 = 2 x 2 x 5 x 5 x 7 x 41 x 359

Step 4: Therefore, the least common multiple of 7175 and 7180 is 10303300.