Least Common Multiple of 5184 and 5190

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 5190 the smallest integer that is 4484160 that is divisible by both numbers.

Least Common Multiple (LCM) of 5184 and 5190 is 4484160.

LCM(5184,5190) = 4484160

LCM of 5184 and 5190

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

LCM of:
and

Least Common Multiple of 5184 and 5190

LCM of 5184 and 5190 is 4484160

Least common multiple can be found by multiplying the highest exponent prime factors of 5184 and 5190. First we will calculate the prime factors of 5184 and 5190.

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 5190


2 5190
3 2595
5 865
173 173
1

Prime factors of 5190 are 2, 3, 5,173. Prime factorization of 5190 in exponential form is:

5190 = 21×31×51×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 5184 and 5190.

LCM(5184,5190) = 26×34×51×1731
LCM(5184,5190) = 4484160

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 5190

List of positive integer factors of 5190 that divides 5190 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 173, 346, 519, 865, 1038, 1730, 2595, 5190

Least Common Multiple of 5184 and 5190 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 5190, than apply into the LCM equation.

GCF(5184,5190) = 6
LCM(5184,5190) = ( 5184 × 5190) / 6
LCM(5184,5190) = 26904960 / 6
LCM(5184,5190) = 4484160

Properties of LCM 5184 and 5190

(i) The LCM of 5190 and 5184 is associative

LCM of 5184 and 5190 = LCM of 5190 and 5184

Related Least Common Multiples of 5184

Related Least Common Multiples of 5190

Frequently Asked Questions on LCM of 5184 and 5190

1. What is the LCM of 5184 and 5190?

Answer: LCM of 5184 and 5190 is 4484160.

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 5190?

Answer: Factors of 5190 are 1, 2, 3, 5, 6, 10, 15, 30, 173, 346, 519, 865, 1038, 1730, 2595, 5190. There are 16 integers that are factors of 5190. The greatest factor of 5190 is 5190.

4. How to Find the LCM of 5184 and 5190?

Answer:

Least Common Multiple of 5184 and 5190 = 4484160

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 5190

5190 = 2 x 3 x 5 x 173

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

LCM = 4484160 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 173

Step 4: Therefore, the least common multiple of 5184 and 5190 is 4484160.