Least Common Multiple of 5179 and 5187
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 5187 the smallest integer that is 26863473 that is divisible by both numbers.
Least Common Multiple (LCM) of 5179 and 5187 is 26863473.
LCM(5179,5187) = 26863473
LCM of 5179 and 5187
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5179 and 5187 by Prime method
- Least Common Multiple of 5179 and 5187 with GCF Formula
LCM of 5179 and 5187 is 26863473
Least common multiple can be found by multiplying the highest exponent prime factors of 5179 and 5187. First we will calculate the prime factors of 5179 and 5187.
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 5187
| 3 | 5187 |
| 7 | 1729 |
| 13 | 247 |
| 19 | 19 |
| 1 |
Prime factors of 5187 are 3, 7, 13,19. Prime factorization of 5187 in exponential form is:
5187 = 31×71×131×191
Now multiplying the highest exponent prime factors to calculate the LCM of 5179 and 5187.
LCM(5179,5187) = 31×71×131×191×51791
LCM(5179,5187) = 26863473
Factors of 5179
List of positive integer factors of 5179 that divides 5179 without a remainder.
1, 5179
Factors of 5187
List of positive integer factors of 5187 that divides 5187 without a remainder.
1, 3, 7, 13, 19, 21, 39, 57, 91, 133, 247, 273, 399, 741, 1729, 5187
Least Common Multiple of 5179 and 5187 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5179 and 5187, than apply into the LCM equation.
GCF(5179,5187) = 1
LCM(5179,5187) = ( 5179 × 5187) / 1
LCM(5179,5187) = 26863473 / 1
LCM(5179,5187) = 26863473
Properties of LCM 5179 and 5187
(i) The LCM of 5187 and 5179 is associative
LCM of 5179 and 5187 = LCM of 5187 and 5179
Related Least Common Multiples of 5179
Related Least Common Multiples of 5187
Frequently Asked Questions on LCM of 5179 and 5187
1. What is the LCM of 5179 and 5187?
Answer: LCM of 5179 and 5187 is 26863473.
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 5187?
Answer: Factors of 5187 are 1, 3, 7, 13, 19, 21, 39, 57, 91, 133, 247, 273, 399, 741, 1729, 5187. There are 16 integers that are factors of 5187. The greatest factor of 5187 is 5187.
4. How to Find the LCM of 5179 and 5187?
Answer:
Least Common Multiple of 5179 and 5187 = 26863473
Step 1: Find the prime factorization of 5179
5179 = 5179
Step 2: Find the prime factorization of 5187
5187 = 3 x 7 x 13 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 26863473 = 3 x 7 x 13 x 19 x 5179
Step 4: Therefore, the least common multiple of 5179 and 5187 is 26863473.