Least Common Multiple of 5180 and 5184

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 5184 the smallest integer that is 6713280 that is divisible by both numbers.

Least Common Multiple (LCM) of 5180 and 5184 is 6713280.

LCM(5180,5184) = 6713280

LCM of 5180 and 5184

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

LCM of:
and

Least Common Multiple of 5180 and 5184

LCM of 5180 and 5184 is 6713280

Least common multiple can be found by multiplying the highest exponent prime factors of 5180 and 5184. First we will calculate the prime factors of 5180 and 5184.

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 5184


2 5184
2 2592
2 1296
2 648
2 324
2 162
3 81
3 27
3 9
3 3
1

Prime factors of 5184 are 2,3. Prime factorization of 5184 in exponential form is:

5184 = 26×34

Now multiplying the highest exponent prime factors to calculate the LCM of 5180 and 5184.

LCM(5180,5184) = 26×34×51×71×371
LCM(5180,5184) = 6713280

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 5184

List of positive integer factors of 5184 that divides 5184 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 144, 162, 192, 216, 288, 324, 432, 576, 648, 864, 1296, 1728, 2592, 5184

Least Common Multiple of 5180 and 5184 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 5184, than apply into the LCM equation.

GCF(5180,5184) = 4
LCM(5180,5184) = ( 5180 × 5184) / 4
LCM(5180,5184) = 26853120 / 4
LCM(5180,5184) = 6713280

Properties of LCM 5180 and 5184

(i) The LCM of 5184 and 5180 is associative

LCM of 5180 and 5184 = LCM of 5184 and 5180

Related Least Common Multiples of 5180

Related Least Common Multiples of 5184

Frequently Asked Questions on LCM of 5180 and 5184

1. What is the LCM of 5180 and 5184?

Answer: LCM of 5180 and 5184 is 6713280.

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 5184?

Answer: Factors of 5184 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 144, 162, 192, 216, 288, 324, 432, 576, 648, 864, 1296, 1728, 2592, 5184. There are 35 integers that are factors of 5184. The greatest factor of 5184 is 5184.

4. How to Find the LCM of 5180 and 5184?

Answer:

Least Common Multiple of 5180 and 5184 = 6713280

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 5184

5184 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3

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

LCM = 6713280 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 7 x 37

Step 4: Therefore, the least common multiple of 5180 and 5184 is 6713280.