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 5191 the smallest integer that is 26915335 that is divisible by both numbers.
Least Common Multiple (LCM) of 5185 and 5191 is 26915335.
LCM(5185,5191) = 26915335
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 5185 and 5191. First we will calculate the prime factors of 5185 and 5191.
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 5191
29 | 5191 |
179 | 179 |
1 |
Prime factors of 5191 are 29,179. Prime factorization of 5191 in exponential form is:
5191 = 291×1791
Now multiplying the highest exponent prime factors to calculate the LCM of 5185 and 5191.
LCM(5185,5191) = 51×171×291×611×1791
LCM(5185,5191) = 26915335
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 5191
List of positive integer factors of 5191 that divides 5191 without a remainder.
1, 29, 179, 5191
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5185 and 5191, than apply into the LCM equation.
GCF(5185,5191) = 1
LCM(5185,5191) = ( 5185 × 5191) / 1
LCM(5185,5191) = 26915335 / 1
LCM(5185,5191) = 26915335
(i) The LCM of 5191 and 5185 is associative
LCM of 5185 and 5191 = LCM of 5191 and 5185
1. What is the LCM of 5185 and 5191?
Answer: LCM of 5185 and 5191 is 26915335.
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 5191?
Answer: Factors of 5191 are 1, 29, 179, 5191. There are 4 integers that are factors of 5191. The greatest factor of 5191 is 5191.
4. How to Find the LCM of 5185 and 5191?
Answer:
Least Common Multiple of 5185 and 5191 = 26915335
Step 1: Find the prime factorization of 5185
5185 = 5 x 17 x 61
Step 2: Find the prime factorization of 5191
5191 = 29 x 179
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 26915335 = 5 x 17 x 29 x 61 x 179
Step 4: Therefore, the least common multiple of 5185 and 5191 is 26915335.