Least Common Multiple of 6093 and 6097
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6093 and 6097 the smallest integer that is 37149021 that is divisible by both numbers.
Least Common Multiple (LCM) of 6093 and 6097 is 37149021.
LCM(6093,6097) = 37149021
LCM of 6093 and 6097
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6093 and 6097 by Prime method
- Least Common Multiple of 6093 and 6097 with GCF Formula
LCM of 6093 and 6097 is 37149021
Least common multiple can be found by multiplying the highest exponent prime factors of 6093 and 6097. First we will calculate the prime factors of 6093 and 6097.
Prime Factorization of 6093
| 3 | 6093 |
| 3 | 2031 |
| 677 | 677 |
| 1 |
Prime factors of 6093 are 3,677. Prime factorization of 6093 in exponential form is:
6093 = 32×6771
Prime Factorization of 6097
| 7 | 6097 |
| 13 | 871 |
| 67 | 67 |
| 1 |
Prime factors of 6097 are 7, 13,67. Prime factorization of 6097 in exponential form is:
6097 = 71×131×671
Now multiplying the highest exponent prime factors to calculate the LCM of 6093 and 6097.
LCM(6093,6097) = 32×71×131×671×6771
LCM(6093,6097) = 37149021
Factors of 6093
List of positive integer factors of 6093 that divides 6093 without a remainder.
1, 3, 9, 677, 2031, 6093
Factors of 6097
List of positive integer factors of 6097 that divides 6097 without a remainder.
1, 7, 13, 67, 91, 469, 871, 6097
Least Common Multiple of 6093 and 6097 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6093 and 6097, than apply into the LCM equation.
GCF(6093,6097) = 1
LCM(6093,6097) = ( 6093 × 6097) / 1
LCM(6093,6097) = 37149021 / 1
LCM(6093,6097) = 37149021
Properties of LCM 6093 and 6097
(i) The LCM of 6097 and 6093 is associative
LCM of 6093 and 6097 = LCM of 6097 and 6093
Related Least Common Multiples of 6093
Related Least Common Multiples of 6097
Frequently Asked Questions on LCM of 6093 and 6097
1. What is the LCM of 6093 and 6097?
Answer: LCM of 6093 and 6097 is 37149021.
2. What are the Factors of 6093?
Answer: Factors of 6093 are 1, 3, 9, 677, 2031, 6093. There are 6 integers that are factors of 6093. The greatest factor of 6093 is 6093.
3. What are the Factors of 6097?
Answer: Factors of 6097 are 1, 7, 13, 67, 91, 469, 871, 6097. There are 8 integers that are factors of 6097. The greatest factor of 6097 is 6097.
4. How to Find the LCM of 6093 and 6097?
Answer:
Least Common Multiple of 6093 and 6097 = 37149021
Step 1: Find the prime factorization of 6093
6093 = 3 x 3 x 677
Step 2: Find the prime factorization of 6097
6097 = 7 x 13 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 37149021 = 3 x 3 x 7 x 13 x 67 x 677
Step 4: Therefore, the least common multiple of 6093 and 6097 is 37149021.