Least Common Multiple of 5185 and 5190
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5185 and 5190 the smallest integer that is 5382030 that is divisible by both numbers.
Least Common Multiple (LCM) of 5185 and 5190 is 5382030.
LCM(5185,5190) = 5382030
LCM of 5185 and 5190
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5185 and 5190 by Prime method
- Least Common Multiple of 5185 and 5190 with GCF Formula
LCM of 5185 and 5190 is 5382030
Least common multiple can be found by multiplying the highest exponent prime factors of 5185 and 5190. First we will calculate the prime factors of 5185 and 5190.
Prime Factorization of 5185
| 5 | 5185 |
| 17 | 1037 |
| 61 | 61 |
| 1 |
Prime factors of 5185 are 5, 17,61. Prime factorization of 5185 in exponential form is:
5185 = 51×171×611
Prime Factorization of 5190
| 2 | 5190 |
| 3 | 2595 |
| 5 | 865 |
| 173 | 173 |
| 1 |
Prime factors of 5190 are 2, 3, 5,173. Prime factorization of 5190 in exponential form is:
5190 = 21×31×51×1731
Now multiplying the highest exponent prime factors to calculate the LCM of 5185 and 5190.
LCM(5185,5190) = 21×31×51×171×611×1731
LCM(5185,5190) = 5382030
Factors of 5185
List of positive integer factors of 5185 that divides 5185 without a remainder.
1, 5, 17, 61, 85, 305, 1037, 5185
Factors of 5190
List of positive integer factors of 5190 that divides 5190 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 173, 346, 519, 865, 1038, 1730, 2595, 5190
Least Common Multiple of 5185 and 5190 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5185 and 5190, than apply into the LCM equation.
GCF(5185,5190) = 5
LCM(5185,5190) = ( 5185 × 5190) / 5
LCM(5185,5190) = 26910150 / 5
LCM(5185,5190) = 5382030
Properties of LCM 5185 and 5190
(i) The LCM of 5190 and 5185 is associative
LCM of 5185 and 5190 = LCM of 5190 and 5185
Related Least Common Multiples of 5185
Related Least Common Multiples of 5190
Frequently Asked Questions on LCM of 5185 and 5190
1. What is the LCM of 5185 and 5190?
Answer: LCM of 5185 and 5190 is 5382030.
2. What are the Factors of 5185?
Answer: Factors of 5185 are 1, 5, 17, 61, 85, 305, 1037, 5185. There are 8 integers that are factors of 5185. The greatest factor of 5185 is 5185.
3. What are the Factors of 5190?
Answer: Factors of 5190 are 1, 2, 3, 5, 6, 10, 15, 30, 173, 346, 519, 865, 1038, 1730, 2595, 5190. There are 16 integers that are factors of 5190. The greatest factor of 5190 is 5190.
4. How to Find the LCM of 5185 and 5190?
Answer:
Least Common Multiple of 5185 and 5190 = 5382030
Step 1: Find the prime factorization of 5185
5185 = 5 x 17 x 61
Step 2: Find the prime factorization of 5190
5190 = 2 x 3 x 5 x 173
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5382030 = 2 x 3 x 5 x 17 x 61 x 173
Step 4: Therefore, the least common multiple of 5185 and 5190 is 5382030.