Least Common Multiple of 5176 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 5176 and 5184 the smallest integer that is 3354048 that is divisible by both numbers.

Least Common Multiple (LCM) of 5176 and 5184 is 3354048.

LCM(5176,5184) = 3354048

LCM of 5176 and 5184

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

LCM of:
and

Least Common Multiple of 5176 and 5184

LCM of 5176 and 5184 is 3354048

Least common multiple can be found by multiplying the highest exponent prime factors of 5176 and 5184. First we will calculate the prime factors of 5176 and 5184.

Prime Factorization of 5176


2 5176
2 2588
2 1294
647 647
1

Prime factors of 5176 are 2,647. Prime factorization of 5176 in exponential form is:

5176 = 23×6471

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 5176 and 5184.

LCM(5176,5184) = 26×34×6471
LCM(5176,5184) = 3354048

Factors of 5176

List of positive integer factors of 5176 that divides 5176 without a remainder.

1, 2, 4, 8, 647, 1294, 2588, 5176

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 5176 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 5176 and 5184, than apply into the LCM equation.

GCF(5176,5184) = 8
LCM(5176,5184) = ( 5176 × 5184) / 8
LCM(5176,5184) = 26832384 / 8
LCM(5176,5184) = 3354048

Properties of LCM 5176 and 5184

(i) The LCM of 5184 and 5176 is associative

LCM of 5176 and 5184 = LCM of 5184 and 5176

Related Least Common Multiples of 5176

Related Least Common Multiples of 5184

Frequently Asked Questions on LCM of 5176 and 5184

1. What is the LCM of 5176 and 5184?

Answer: LCM of 5176 and 5184 is 3354048.

2. What are the Factors of 5176?

Answer: Factors of 5176 are 1, 2, 4, 8, 647, 1294, 2588, 5176. There are 8 integers that are factors of 5176. The greatest factor of 5176 is 5176.

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 5176 and 5184?

Answer:

Least Common Multiple of 5176 and 5184 = 3354048

Step 1: Find the prime factorization of 5176

5176 = 2 x 2 x 2 x 647

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 = 3354048 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 647

Step 4: Therefore, the least common multiple of 5176 and 5184 is 3354048.