Least Common Multiple of 5180 and 5188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5180 and 5188 the smallest integer that is 6718460 that is divisible by both numbers.

Least Common Multiple (LCM) of 5180 and 5188 is 6718460.

LCM(5180,5188) = 6718460

LCM of 5180 and 5188

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

LCM of:
and

Least Common Multiple of 5180 and 5188

LCM of 5180 and 5188 is 6718460

Least common multiple can be found by multiplying the highest exponent prime factors of 5180 and 5188. First we will calculate the prime factors of 5180 and 5188.

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

Prime Factorization of 5188


2 5188
2 2594
1297 1297
1

Prime factors of 5188 are 2,1297. Prime factorization of 5188 in exponential form is:

5188 = 22×12971

Now multiplying the highest exponent prime factors to calculate the LCM of 5180 and 5188.

LCM(5180,5188) = 22×51×71×371×12971
LCM(5180,5188) = 6718460

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

Factors of 5188

List of positive integer factors of 5188 that divides 5188 without a remainder.

1, 2, 4, 1297, 2594, 5188

Least Common Multiple of 5180 and 5188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5180 and 5188, than apply into the LCM equation.

GCF(5180,5188) = 4
LCM(5180,5188) = ( 5180 × 5188) / 4
LCM(5180,5188) = 26873840 / 4
LCM(5180,5188) = 6718460

Properties of LCM 5180 and 5188

(i) The LCM of 5188 and 5180 is associative

LCM of 5180 and 5188 = LCM of 5188 and 5180

Related Least Common Multiples of 5180

Related Least Common Multiples of 5188

Frequently Asked Questions on LCM of 5180 and 5188

1. What is the LCM of 5180 and 5188?

Answer: LCM of 5180 and 5188 is 6718460.

2. 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.

3. What are the Factors of 5188?

Answer: Factors of 5188 are 1, 2, 4, 1297, 2594, 5188. There are 6 integers that are factors of 5188. The greatest factor of 5188 is 5188.

4. How to Find the LCM of 5180 and 5188?

Answer:

Least Common Multiple of 5180 and 5188 = 6718460

Step 1: Find the prime factorization of 5180

5180 = 2 x 2 x 5 x 7 x 37

Step 2: Find the prime factorization of 5188

5188 = 2 x 2 x 1297

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

LCM = 6718460 = 2 x 2 x 5 x 7 x 37 x 1297

Step 4: Therefore, the least common multiple of 5180 and 5188 is 6718460.