Least Common Multiple of 5180 and 5186

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 5186 the smallest integer that is 13431740 that is divisible by both numbers.

Least Common Multiple (LCM) of 5180 and 5186 is 13431740.

LCM(5180,5186) = 13431740

LCM of 5180 and 5186

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

LCM of:
and

Least Common Multiple of 5180 and 5186

LCM of 5180 and 5186 is 13431740

Least common multiple can be found by multiplying the highest exponent prime factors of 5180 and 5186. First we will calculate the prime factors of 5180 and 5186.

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 5186


2 5186
2593 2593
1

Prime factors of 5186 are 2,2593. Prime factorization of 5186 in exponential form is:

5186 = 21×25931

Now multiplying the highest exponent prime factors to calculate the LCM of 5180 and 5186.

LCM(5180,5186) = 22×51×71×371×25931
LCM(5180,5186) = 13431740

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 5186

List of positive integer factors of 5186 that divides 5186 without a remainder.

1, 2, 2593, 5186

Least Common Multiple of 5180 and 5186 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 5186, than apply into the LCM equation.

GCF(5180,5186) = 2
LCM(5180,5186) = ( 5180 × 5186) / 2
LCM(5180,5186) = 26863480 / 2
LCM(5180,5186) = 13431740

Properties of LCM 5180 and 5186

(i) The LCM of 5186 and 5180 is associative

LCM of 5180 and 5186 = LCM of 5186 and 5180

Related Least Common Multiples of 5180

Related Least Common Multiples of 5186

Frequently Asked Questions on LCM of 5180 and 5186

1. What is the LCM of 5180 and 5186?

Answer: LCM of 5180 and 5186 is 13431740.

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 5186?

Answer: Factors of 5186 are 1, 2, 2593, 5186. There are 4 integers that are factors of 5186. The greatest factor of 5186 is 5186.

4. How to Find the LCM of 5180 and 5186?

Answer:

Least Common Multiple of 5180 and 5186 = 13431740

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 5186

5186 = 2 x 2593

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

LCM = 13431740 = 2 x 2 x 5 x 7 x 37 x 2593

Step 4: Therefore, the least common multiple of 5180 and 5186 is 13431740.