Least Common Multiple of 6293 and 6297
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6293 and 6297 the smallest integer that is 39627021 that is divisible by both numbers.
Least Common Multiple (LCM) of 6293 and 6297 is 39627021.
LCM(6293,6297) = 39627021
LCM of 6293 and 6297
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6293 and 6297 by Prime method
- Least Common Multiple of 6293 and 6297 with GCF Formula
LCM of 6293 and 6297 is 39627021
Least common multiple can be found by multiplying the highest exponent prime factors of 6293 and 6297. First we will calculate the prime factors of 6293 and 6297.
Prime Factorization of 6293
| 7 | 6293 |
| 29 | 899 |
| 31 | 31 |
| 1 |
Prime factors of 6293 are 7, 29,31. Prime factorization of 6293 in exponential form is:
6293 = 71×291×311
Prime Factorization of 6297
| 3 | 6297 |
| 2099 | 2099 |
| 1 |
Prime factors of 6297 are 3,2099. Prime factorization of 6297 in exponential form is:
6297 = 31×20991
Now multiplying the highest exponent prime factors to calculate the LCM of 6293 and 6297.
LCM(6293,6297) = 31×71×291×311×20991
LCM(6293,6297) = 39627021
Factors of 6293
List of positive integer factors of 6293 that divides 6293 without a remainder.
1, 7, 29, 31, 203, 217, 899, 6293
Factors of 6297
List of positive integer factors of 6297 that divides 6297 without a remainder.
1, 3, 2099, 6297
Least Common Multiple of 6293 and 6297 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6293 and 6297, than apply into the LCM equation.
GCF(6293,6297) = 1
LCM(6293,6297) = ( 6293 × 6297) / 1
LCM(6293,6297) = 39627021 / 1
LCM(6293,6297) = 39627021
Properties of LCM 6293 and 6297
(i) The LCM of 6297 and 6293 is associative
LCM of 6293 and 6297 = LCM of 6297 and 6293
Related Least Common Multiples of 6293
Related Least Common Multiples of 6297
Frequently Asked Questions on LCM of 6293 and 6297
1. What is the LCM of 6293 and 6297?
Answer: LCM of 6293 and 6297 is 39627021.
2. What are the Factors of 6293?
Answer: Factors of 6293 are 1, 7, 29, 31, 203, 217, 899, 6293. There are 8 integers that are factors of 6293. The greatest factor of 6293 is 6293.
3. What are the Factors of 6297?
Answer: Factors of 6297 are 1, 3, 2099, 6297. There are 4 integers that are factors of 6297. The greatest factor of 6297 is 6297.
4. How to Find the LCM of 6293 and 6297?
Answer:
Least Common Multiple of 6293 and 6297 = 39627021
Step 1: Find the prime factorization of 6293
6293 = 7 x 29 x 31
Step 2: Find the prime factorization of 6297
6297 = 3 x 2099
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 39627021 = 3 x 7 x 29 x 31 x 2099
Step 4: Therefore, the least common multiple of 6293 and 6297 is 39627021.