Least Common Multiple of 5184 and 5189

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 5189 the smallest integer that is 26899776 that is divisible by both numbers.

Least Common Multiple (LCM) of 5184 and 5189 is 26899776.

LCM(5184,5189) = 26899776

LCM of 5184 and 5189

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

LCM of:
and

Least Common Multiple of 5184 and 5189

LCM of 5184 and 5189 is 26899776

Least common multiple can be found by multiplying the highest exponent prime factors of 5184 and 5189. First we will calculate the prime factors of 5184 and 5189.

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 5189


5189 5189
1

Prime factors of 5189 are 5189. Prime factorization of 5189 in exponential form is:

5189 = 51891

Now multiplying the highest exponent prime factors to calculate the LCM of 5184 and 5189.

LCM(5184,5189) = 26×34×51891
LCM(5184,5189) = 26899776

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 5189

List of positive integer factors of 5189 that divides 5189 without a remainder.

1, 5189

Least Common Multiple of 5184 and 5189 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 5189, than apply into the LCM equation.

GCF(5184,5189) = 1
LCM(5184,5189) = ( 5184 × 5189) / 1
LCM(5184,5189) = 26899776 / 1
LCM(5184,5189) = 26899776

Properties of LCM 5184 and 5189

(i) The LCM of 5189 and 5184 is associative

LCM of 5184 and 5189 = LCM of 5189 and 5184

Related Least Common Multiples of 5184

Related Least Common Multiples of 5189

Frequently Asked Questions on LCM of 5184 and 5189

1. What is the LCM of 5184 and 5189?

Answer: LCM of 5184 and 5189 is 26899776.

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 5189?

Answer: Factors of 5189 are 1, 5189. There are 2 integers that are factors of 5189. The greatest factor of 5189 is 5189.

4. How to Find the LCM of 5184 and 5189?

Answer:

Least Common Multiple of 5184 and 5189 = 26899776

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 5189

5189 = 5189

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

LCM = 26899776 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5189

Step 4: Therefore, the least common multiple of 5184 and 5189 is 26899776.