Least Common Multiple of 7173 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 7173 and 7180 the smallest integer that is 51502140 that is divisible by both numbers.

Least Common Multiple (LCM) of 7173 and 7180 is 51502140.

LCM(7173,7180) = 51502140

LCM of 7173 and 7180

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

LCM of:
and

Least Common Multiple of 7173 and 7180

LCM of 7173 and 7180 is 51502140

Least common multiple can be found by multiplying the highest exponent prime factors of 7173 and 7180. First we will calculate the prime factors of 7173 and 7180.

Prime Factorization of 7173


3 7173
3 2391
797 797
1

Prime factors of 7173 are 3,797. Prime factorization of 7173 in exponential form is:

7173 = 32×7971

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 7173 and 7180.

LCM(7173,7180) = 22×32×51×3591×7971
LCM(7173,7180) = 51502140

Factors of 7173

List of positive integer factors of 7173 that divides 7173 without a remainder.

1, 3, 9, 797, 2391, 7173

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 7173 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 7173 and 7180, than apply into the LCM equation.

GCF(7173,7180) = 1
LCM(7173,7180) = ( 7173 × 7180) / 1
LCM(7173,7180) = 51502140 / 1
LCM(7173,7180) = 51502140

Properties of LCM 7173 and 7180

(i) The LCM of 7180 and 7173 is associative

LCM of 7173 and 7180 = LCM of 7180 and 7173

Related Least Common Multiples of 7173

Related Least Common Multiples of 7180

Frequently Asked Questions on LCM of 7173 and 7180

1. What is the LCM of 7173 and 7180?

Answer: LCM of 7173 and 7180 is 51502140.

2. What are the Factors of 7173?

Answer: Factors of 7173 are 1, 3, 9, 797, 2391, 7173. There are 6 integers that are factors of 7173. The greatest factor of 7173 is 7173.

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 7173 and 7180?

Answer:

Least Common Multiple of 7173 and 7180 = 51502140

Step 1: Find the prime factorization of 7173

7173 = 3 x 3 x 797

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 = 51502140 = 2 x 2 x 3 x 3 x 5 x 359 x 797

Step 4: Therefore, the least common multiple of 7173 and 7180 is 51502140.