Least Common Multiple of 5177 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 5177 and 5184 the smallest integer that is 26837568 that is divisible by both numbers.

Least Common Multiple (LCM) of 5177 and 5184 is 26837568.

LCM(5177,5184) = 26837568

LCM of 5177 and 5184

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

LCM of:
and

Least Common Multiple of 5177 and 5184

LCM of 5177 and 5184 is 26837568

Least common multiple can be found by multiplying the highest exponent prime factors of 5177 and 5184. First we will calculate the prime factors of 5177 and 5184.

Prime Factorization of 5177


31 5177
167 167
1

Prime factors of 5177 are 31,167. Prime factorization of 5177 in exponential form is:

5177 = 311×1671

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 5177 and 5184.

LCM(5177,5184) = 26×34×311×1671
LCM(5177,5184) = 26837568

Factors of 5177

List of positive integer factors of 5177 that divides 5177 without a remainder.

1, 31, 167, 5177

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 5177 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 5177 and 5184, than apply into the LCM equation.

GCF(5177,5184) = 1
LCM(5177,5184) = ( 5177 × 5184) / 1
LCM(5177,5184) = 26837568 / 1
LCM(5177,5184) = 26837568

Properties of LCM 5177 and 5184

(i) The LCM of 5184 and 5177 is associative

LCM of 5177 and 5184 = LCM of 5184 and 5177

Related Least Common Multiples of 5177

Related Least Common Multiples of 5184

Frequently Asked Questions on LCM of 5177 and 5184

1. What is the LCM of 5177 and 5184?

Answer: LCM of 5177 and 5184 is 26837568.

2. What are the Factors of 5177?

Answer: Factors of 5177 are 1, 31, 167, 5177. There are 4 integers that are factors of 5177. The greatest factor of 5177 is 5177.

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 5177 and 5184?

Answer:

Least Common Multiple of 5177 and 5184 = 26837568

Step 1: Find the prime factorization of 5177

5177 = 31 x 167

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 = 26837568 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 31 x 167

Step 4: Therefore, the least common multiple of 5177 and 5184 is 26837568.