Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5179 and 5184 the smallest integer that is 26847936 that is divisible by both numbers.
Least Common Multiple (LCM) of 5179 and 5184 is 26847936.
LCM(5179,5184) = 26847936
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 5179 and 5184. First we will calculate the prime factors of 5179 and 5184.
Prime Factorization of 5179
5179 | 5179 |
1 |
Prime factors of 5179 are 5179. Prime factorization of 5179 in exponential form is:
5179 = 51791
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 5179 and 5184.
LCM(5179,5184) = 26×34×51791
LCM(5179,5184) = 26847936
Factors of 5179
List of positive integer factors of 5179 that divides 5179 without a remainder.
1, 5179
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
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5179 and 5184, than apply into the LCM equation.
GCF(5179,5184) = 1
LCM(5179,5184) = ( 5179 × 5184) / 1
LCM(5179,5184) = 26847936 / 1
LCM(5179,5184) = 26847936
(i) The LCM of 5184 and 5179 is associative
LCM of 5179 and 5184 = LCM of 5184 and 5179
1. What is the LCM of 5179 and 5184?
Answer: LCM of 5179 and 5184 is 26847936.
2. What are the Factors of 5179?
Answer: Factors of 5179 are 1, 5179. There are 2 integers that are factors of 5179. The greatest factor of 5179 is 5179.
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 5179 and 5184?
Answer:
Least Common Multiple of 5179 and 5184 = 26847936
Step 1: Find the prime factorization of 5179
5179 = 5179
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 = 26847936 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5179
Step 4: Therefore, the least common multiple of 5179 and 5184 is 26847936.