Least Common Multiple of 6083 and 6089
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6083 and 6089 the smallest integer that is 37039387 that is divisible by both numbers.
Least Common Multiple (LCM) of 6083 and 6089 is 37039387.
LCM(6083,6089) = 37039387
LCM of 6083 and 6089
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6083 and 6089 by Prime method
- Least Common Multiple of 6083 and 6089 with GCF Formula
LCM of 6083 and 6089 is 37039387
Least common multiple can be found by multiplying the highest exponent prime factors of 6083 and 6089. First we will calculate the prime factors of 6083 and 6089.
Prime Factorization of 6083
| 7 | 6083 |
| 11 | 869 |
| 79 | 79 |
| 1 |
Prime factors of 6083 are 7, 11,79. Prime factorization of 6083 in exponential form is:
6083 = 71×111×791
Prime Factorization of 6089
| 6089 | 6089 |
| 1 |
Prime factors of 6089 are 6089. Prime factorization of 6089 in exponential form is:
6089 = 60891
Now multiplying the highest exponent prime factors to calculate the LCM of 6083 and 6089.
LCM(6083,6089) = 71×111×791×60891
LCM(6083,6089) = 37039387
Factors of 6083
List of positive integer factors of 6083 that divides 6083 without a remainder.
1, 7, 11, 77, 79, 553, 869, 6083
Factors of 6089
List of positive integer factors of 6089 that divides 6089 without a remainder.
1, 6089
Least Common Multiple of 6083 and 6089 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6083 and 6089, than apply into the LCM equation.
GCF(6083,6089) = 1
LCM(6083,6089) = ( 6083 × 6089) / 1
LCM(6083,6089) = 37039387 / 1
LCM(6083,6089) = 37039387
Properties of LCM 6083 and 6089
(i) The LCM of 6089 and 6083 is associative
LCM of 6083 and 6089 = LCM of 6089 and 6083
Related Least Common Multiples of 6083
Related Least Common Multiples of 6089
Frequently Asked Questions on LCM of 6083 and 6089
1. What is the LCM of 6083 and 6089?
Answer: LCM of 6083 and 6089 is 37039387.
2. What are the Factors of 6083?
Answer: Factors of 6083 are 1, 7, 11, 77, 79, 553, 869, 6083. There are 8 integers that are factors of 6083. The greatest factor of 6083 is 6083.
3. What are the Factors of 6089?
Answer: Factors of 6089 are 1, 6089. There are 2 integers that are factors of 6089. The greatest factor of 6089 is 6089.
4. How to Find the LCM of 6083 and 6089?
Answer:
Least Common Multiple of 6083 and 6089 = 37039387
Step 1: Find the prime factorization of 6083
6083 = 7 x 11 x 79
Step 2: Find the prime factorization of 6089
6089 = 6089
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 37039387 = 7 x 11 x 79 x 6089
Step 4: Therefore, the least common multiple of 6083 and 6089 is 37039387.