Least Common Multiple of 3081 and 3089
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3081 and 3089 the smallest integer that is 9517209 that is divisible by both numbers.
Least Common Multiple (LCM) of 3081 and 3089 is 9517209.
LCM(3081,3089) = 9517209
LCM of 3081 and 3089
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3081 and 3089 by Prime method
- Least Common Multiple of 3081 and 3089 with GCF Formula
LCM of 3081 and 3089 is 9517209
Least common multiple can be found by multiplying the highest exponent prime factors of 3081 and 3089. First we will calculate the prime factors of 3081 and 3089.
Prime Factorization of 3081
| 3 | 3081 |
| 13 | 1027 |
| 79 | 79 |
| 1 |
Prime factors of 3081 are 3, 13,79. Prime factorization of 3081 in exponential form is:
3081 = 31×131×791
Prime Factorization of 3089
| 3089 | 3089 |
| 1 |
Prime factors of 3089 are 3089. Prime factorization of 3089 in exponential form is:
3089 = 30891
Now multiplying the highest exponent prime factors to calculate the LCM of 3081 and 3089.
LCM(3081,3089) = 31×131×791×30891
LCM(3081,3089) = 9517209
Factors of 3081
List of positive integer factors of 3081 that divides 3081 without a remainder.
1, 3, 13, 39, 79, 237, 1027, 3081
Factors of 3089
List of positive integer factors of 3089 that divides 3089 without a remainder.
1, 3089
Least Common Multiple of 3081 and 3089 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3081 and 3089, than apply into the LCM equation.
GCF(3081,3089) = 1
LCM(3081,3089) = ( 3081 × 3089) / 1
LCM(3081,3089) = 9517209 / 1
LCM(3081,3089) = 9517209
Properties of LCM 3081 and 3089
(i) The LCM of 3089 and 3081 is associative
LCM of 3081 and 3089 = LCM of 3089 and 3081
Related Least Common Multiples of 3081
Related Least Common Multiples of 3089
Frequently Asked Questions on LCM of 3081 and 3089
1. What is the LCM of 3081 and 3089?
Answer: LCM of 3081 and 3089 is 9517209.
2. What are the Factors of 3081?
Answer: Factors of 3081 are 1, 3, 13, 39, 79, 237, 1027, 3081. There are 8 integers that are factors of 3081. The greatest factor of 3081 is 3081.
3. What are the Factors of 3089?
Answer: Factors of 3089 are 1, 3089. There are 2 integers that are factors of 3089. The greatest factor of 3089 is 3089.
4. How to Find the LCM of 3081 and 3089?
Answer:
Least Common Multiple of 3081 and 3089 = 9517209
Step 1: Find the prime factorization of 3081
3081 = 3 x 13 x 79
Step 2: Find the prime factorization of 3089
3089 = 3089
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9517209 = 3 x 13 x 79 x 3089
Step 4: Therefore, the least common multiple of 3081 and 3089 is 9517209.