Least Common Multiple of 5184 and 5191

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5184 and 5191 the smallest integer that is 26910144 that is divisible by both numbers.

Least Common Multiple (LCM) of 5184 and 5191 is 26910144.

LCM(5184,5191) = 26910144

LCM of 5184 and 5191

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

LCM of:
and

Least Common Multiple of 5184 and 5191

LCM of 5184 and 5191 is 26910144

Least common multiple can be found by multiplying the highest exponent prime factors of 5184 and 5191. First we will calculate the prime factors of 5184 and 5191.

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

Prime Factorization of 5191


29 5191
179 179
1

Prime factors of 5191 are 29,179. Prime factorization of 5191 in exponential form is:

5191 = 291×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 5184 and 5191.

LCM(5184,5191) = 26×34×291×1791
LCM(5184,5191) = 26910144

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

Factors of 5191

List of positive integer factors of 5191 that divides 5191 without a remainder.

1, 29, 179, 5191

Least Common Multiple of 5184 and 5191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5184 and 5191, than apply into the LCM equation.

GCF(5184,5191) = 1
LCM(5184,5191) = ( 5184 × 5191) / 1
LCM(5184,5191) = 26910144 / 1
LCM(5184,5191) = 26910144

Properties of LCM 5184 and 5191

(i) The LCM of 5191 and 5184 is associative

LCM of 5184 and 5191 = LCM of 5191 and 5184

Related Least Common Multiples of 5184

Related Least Common Multiples of 5191

Frequently Asked Questions on LCM of 5184 and 5191

1. What is the LCM of 5184 and 5191?

Answer: LCM of 5184 and 5191 is 26910144.

2. 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.

3. What are the Factors of 5191?

Answer: Factors of 5191 are 1, 29, 179, 5191. There are 4 integers that are factors of 5191. The greatest factor of 5191 is 5191.

4. How to Find the LCM of 5184 and 5191?

Answer:

Least Common Multiple of 5184 and 5191 = 26910144

Step 1: 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 2: Find the prime factorization of 5191

5191 = 29 x 179

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

LCM = 26910144 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 29 x 179

Step 4: Therefore, the least common multiple of 5184 and 5191 is 26910144.