Least Common Multiple of 5178 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 5178 and 5184 the smallest integer that is 4473792 that is divisible by both numbers.

Least Common Multiple (LCM) of 5178 and 5184 is 4473792.

LCM(5178,5184) = 4473792

LCM of 5178 and 5184

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

LCM of:
and

Least Common Multiple of 5178 and 5184

LCM of 5178 and 5184 is 4473792

Least common multiple can be found by multiplying the highest exponent prime factors of 5178 and 5184. First we will calculate the prime factors of 5178 and 5184.

Prime Factorization of 5178


2 5178
3 2589
863 863
1

Prime factors of 5178 are 2, 3,863. Prime factorization of 5178 in exponential form is:

5178 = 21×31×8631

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 5178 and 5184.

LCM(5178,5184) = 26×34×8631
LCM(5178,5184) = 4473792

Factors of 5178

List of positive integer factors of 5178 that divides 5178 without a remainder.

1, 2, 3, 6, 863, 1726, 2589, 5178

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 5178 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 5178 and 5184, than apply into the LCM equation.

GCF(5178,5184) = 6
LCM(5178,5184) = ( 5178 × 5184) / 6
LCM(5178,5184) = 26842752 / 6
LCM(5178,5184) = 4473792

Properties of LCM 5178 and 5184

(i) The LCM of 5184 and 5178 is associative

LCM of 5178 and 5184 = LCM of 5184 and 5178

Related Least Common Multiples of 5178

Related Least Common Multiples of 5184

Frequently Asked Questions on LCM of 5178 and 5184

1. What is the LCM of 5178 and 5184?

Answer: LCM of 5178 and 5184 is 4473792.

2. What are the Factors of 5178?

Answer: Factors of 5178 are 1, 2, 3, 6, 863, 1726, 2589, 5178. There are 8 integers that are factors of 5178. The greatest factor of 5178 is 5178.

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 5178 and 5184?

Answer:

Least Common Multiple of 5178 and 5184 = 4473792

Step 1: Find the prime factorization of 5178

5178 = 2 x 3 x 863

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 = 4473792 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 863

Step 4: Therefore, the least common multiple of 5178 and 5184 is 4473792.