Least Common Multiple of 5180 and 5187

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 5187 the smallest integer that is 3838380 that is divisible by both numbers.

Least Common Multiple (LCM) of 5180 and 5187 is 3838380.

LCM(5180,5187) = 3838380

LCM of 5180 and 5187

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

LCM of:
and

Least Common Multiple of 5180 and 5187

LCM of 5180 and 5187 is 3838380

Least common multiple can be found by multiplying the highest exponent prime factors of 5180 and 5187. First we will calculate the prime factors of 5180 and 5187.

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 5187


3 5187
7 1729
13 247
19 19
1

Prime factors of 5187 are 3, 7, 13,19. Prime factorization of 5187 in exponential form is:

5187 = 31×71×131×191

Now multiplying the highest exponent prime factors to calculate the LCM of 5180 and 5187.

LCM(5180,5187) = 22×31×51×71×131×191×371
LCM(5180,5187) = 3838380

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 5187

List of positive integer factors of 5187 that divides 5187 without a remainder.

1, 3, 7, 13, 19, 21, 39, 57, 91, 133, 247, 273, 399, 741, 1729, 5187

Least Common Multiple of 5180 and 5187 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 5187, than apply into the LCM equation.

GCF(5180,5187) = 7
LCM(5180,5187) = ( 5180 × 5187) / 7
LCM(5180,5187) = 26868660 / 7
LCM(5180,5187) = 3838380

Properties of LCM 5180 and 5187

(i) The LCM of 5187 and 5180 is associative

LCM of 5180 and 5187 = LCM of 5187 and 5180

Related Least Common Multiples of 5180

Related Least Common Multiples of 5187

Frequently Asked Questions on LCM of 5180 and 5187

1. What is the LCM of 5180 and 5187?

Answer: LCM of 5180 and 5187 is 3838380.

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 5187?

Answer: Factors of 5187 are 1, 3, 7, 13, 19, 21, 39, 57, 91, 133, 247, 273, 399, 741, 1729, 5187. There are 16 integers that are factors of 5187. The greatest factor of 5187 is 5187.

4. How to Find the LCM of 5180 and 5187?

Answer:

Least Common Multiple of 5180 and 5187 = 3838380

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 5187

5187 = 3 x 7 x 13 x 19

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

LCM = 3838380 = 2 x 2 x 3 x 5 x 7 x 13 x 19 x 37

Step 4: Therefore, the least common multiple of 5180 and 5187 is 3838380.