Least Common Multiple of 5175 and 5180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5175 and 5180 the smallest integer that is 5361300 that is divisible by both numbers.

Least Common Multiple (LCM) of 5175 and 5180 is 5361300.

LCM(5175,5180) = 5361300

LCM of 5175 and 5180

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

LCM of:
and

Least Common Multiple of 5175 and 5180

LCM of 5175 and 5180 is 5361300

Least common multiple can be found by multiplying the highest exponent prime factors of 5175 and 5180. First we will calculate the prime factors of 5175 and 5180.

Prime Factorization of 5175


3 5175
3 1725
5 575
5 115
23 23
1

Prime factors of 5175 are 3, 5,23. Prime factorization of 5175 in exponential form is:

5175 = 32×52×231

Prime Factorization of 5180


2 5180
2 2590
5 1295
7 259
37 37
1

Prime factors of 5180 are 2, 5, 7,37. Prime factorization of 5180 in exponential form is:

5180 = 22×51×71×371

Now multiplying the highest exponent prime factors to calculate the LCM of 5175 and 5180.

LCM(5175,5180) = 22×32×52×71×231×371
LCM(5175,5180) = 5361300

Factors of 5175

List of positive integer factors of 5175 that divides 5175 without a remainder.

1, 3, 5, 9, 15, 23, 25, 45, 69, 75, 115, 207, 225, 345, 575, 1035, 1725, 5175

Factors of 5180

List of positive integer factors of 5180 that divides 5180 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 37, 70, 74, 140, 148, 185, 259, 370, 518, 740, 1036, 1295, 2590, 5180

Least Common Multiple of 5175 and 5180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5175 and 5180, than apply into the LCM equation.

GCF(5175,5180) = 5
LCM(5175,5180) = ( 5175 × 5180) / 5
LCM(5175,5180) = 26806500 / 5
LCM(5175,5180) = 5361300

Properties of LCM 5175 and 5180

(i) The LCM of 5180 and 5175 is associative

LCM of 5175 and 5180 = LCM of 5180 and 5175

Related Least Common Multiples of 5175

Related Least Common Multiples of 5180

Frequently Asked Questions on LCM of 5175 and 5180

1. What is the LCM of 5175 and 5180?

Answer: LCM of 5175 and 5180 is 5361300.

2. What are the Factors of 5175?

Answer: Factors of 5175 are 1, 3, 5, 9, 15, 23, 25, 45, 69, 75, 115, 207, 225, 345, 575, 1035, 1725, 5175. There are 18 integers that are factors of 5175. The greatest factor of 5175 is 5175.

3. What are the Factors of 5180?

Answer: Factors of 5180 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 37, 70, 74, 140, 148, 185, 259, 370, 518, 740, 1036, 1295, 2590, 5180. There are 24 integers that are factors of 5180. The greatest factor of 5180 is 5180.

4. How to Find the LCM of 5175 and 5180?

Answer:

Least Common Multiple of 5175 and 5180 = 5361300

Step 1: Find the prime factorization of 5175

5175 = 3 x 3 x 5 x 5 x 23

Step 2: Find the prime factorization of 5180

5180 = 2 x 2 x 5 x 7 x 37

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

LCM = 5361300 = 2 x 2 x 3 x 3 x 5 x 5 x 7 x 23 x 37

Step 4: Therefore, the least common multiple of 5175 and 5180 is 5361300.