Least Common Multiple of 5180 and 5185

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 5185 the smallest integer that is 5371660 that is divisible by both numbers.

Least Common Multiple (LCM) of 5180 and 5185 is 5371660.

LCM(5180,5185) = 5371660

LCM of 5180 and 5185

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

LCM of:
and

Least Common Multiple of 5180 and 5185

LCM of 5180 and 5185 is 5371660

Least common multiple can be found by multiplying the highest exponent prime factors of 5180 and 5185. First we will calculate the prime factors of 5180 and 5185.

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 5185


5 5185
17 1037
61 61
1

Prime factors of 5185 are 5, 17,61. Prime factorization of 5185 in exponential form is:

5185 = 51×171×611

Now multiplying the highest exponent prime factors to calculate the LCM of 5180 and 5185.

LCM(5180,5185) = 22×51×71×171×371×611
LCM(5180,5185) = 5371660

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 5185

List of positive integer factors of 5185 that divides 5185 without a remainder.

1, 5, 17, 61, 85, 305, 1037, 5185

Least Common Multiple of 5180 and 5185 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 5185, than apply into the LCM equation.

GCF(5180,5185) = 5
LCM(5180,5185) = ( 5180 × 5185) / 5
LCM(5180,5185) = 26858300 / 5
LCM(5180,5185) = 5371660

Properties of LCM 5180 and 5185

(i) The LCM of 5185 and 5180 is associative

LCM of 5180 and 5185 = LCM of 5185 and 5180

Related Least Common Multiples of 5180

Related Least Common Multiples of 5185

Frequently Asked Questions on LCM of 5180 and 5185

1. What is the LCM of 5180 and 5185?

Answer: LCM of 5180 and 5185 is 5371660.

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 5185?

Answer: Factors of 5185 are 1, 5, 17, 61, 85, 305, 1037, 5185. There are 8 integers that are factors of 5185. The greatest factor of 5185 is 5185.

4. How to Find the LCM of 5180 and 5185?

Answer:

Least Common Multiple of 5180 and 5185 = 5371660

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 5185

5185 = 5 x 17 x 61

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

LCM = 5371660 = 2 x 2 x 5 x 7 x 17 x 37 x 61

Step 4: Therefore, the least common multiple of 5180 and 5185 is 5371660.