Least Common Multiple of 6297 and 6305
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6297 and 6305 the smallest integer that is 39702585 that is divisible by both numbers.
Least Common Multiple (LCM) of 6297 and 6305 is 39702585.
LCM(6297,6305) = 39702585
LCM of 6297 and 6305
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6297 and 6305 by Prime method
- Least Common Multiple of 6297 and 6305 with GCF Formula
LCM of 6297 and 6305 is 39702585
Least common multiple can be found by multiplying the highest exponent prime factors of 6297 and 6305. First we will calculate the prime factors of 6297 and 6305.
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
Prime Factorization of 6305
| 5 | 6305 |
| 13 | 1261 |
| 97 | 97 |
| 1 |
Prime factors of 6305 are 5, 13,97. Prime factorization of 6305 in exponential form is:
6305 = 51×131×971
Now multiplying the highest exponent prime factors to calculate the LCM of 6297 and 6305.
LCM(6297,6305) = 31×51×131×971×20991
LCM(6297,6305) = 39702585
Factors of 6297
List of positive integer factors of 6297 that divides 6297 without a remainder.
1, 3, 2099, 6297
Factors of 6305
List of positive integer factors of 6305 that divides 6305 without a remainder.
1, 5, 13, 65, 97, 485, 1261, 6305
Least Common Multiple of 6297 and 6305 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6297 and 6305, than apply into the LCM equation.
GCF(6297,6305) = 1
LCM(6297,6305) = ( 6297 × 6305) / 1
LCM(6297,6305) = 39702585 / 1
LCM(6297,6305) = 39702585
Properties of LCM 6297 and 6305
(i) The LCM of 6305 and 6297 is associative
LCM of 6297 and 6305 = LCM of 6305 and 6297
Related Least Common Multiples of 6297
Related Least Common Multiples of 6305
Frequently Asked Questions on LCM of 6297 and 6305
1. What is the LCM of 6297 and 6305?
Answer: LCM of 6297 and 6305 is 39702585.
2. 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.
3. What are the Factors of 6305?
Answer: Factors of 6305 are 1, 5, 13, 65, 97, 485, 1261, 6305. There are 8 integers that are factors of 6305. The greatest factor of 6305 is 6305.
4. How to Find the LCM of 6297 and 6305?
Answer:
Least Common Multiple of 6297 and 6305 = 39702585
Step 1: Find the prime factorization of 6297
6297 = 3 x 2099
Step 2: Find the prime factorization of 6305
6305 = 5 x 13 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 39702585 = 3 x 5 x 13 x 97 x 2099
Step 4: Therefore, the least common multiple of 6297 and 6305 is 39702585.