Least Common Multiple of 7081 and 7089
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7081 and 7089 the smallest integer that is 50197209 that is divisible by both numbers.
Least Common Multiple (LCM) of 7081 and 7089 is 50197209.
LCM(7081,7089) = 50197209
LCM of 7081 and 7089
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7081 and 7089 by Prime method
- Least Common Multiple of 7081 and 7089 with GCF Formula
LCM of 7081 and 7089 is 50197209
Least common multiple can be found by multiplying the highest exponent prime factors of 7081 and 7089. First we will calculate the prime factors of 7081 and 7089.
Prime Factorization of 7081
| 73 | 7081 |
| 97 | 97 |
| 1 |
Prime factors of 7081 are 73,97. Prime factorization of 7081 in exponential form is:
7081 = 731×971
Prime Factorization of 7089
| 3 | 7089 |
| 17 | 2363 |
| 139 | 139 |
| 1 |
Prime factors of 7089 are 3, 17,139. Prime factorization of 7089 in exponential form is:
7089 = 31×171×1391
Now multiplying the highest exponent prime factors to calculate the LCM of 7081 and 7089.
LCM(7081,7089) = 31×171×731×971×1391
LCM(7081,7089) = 50197209
Factors of 7081
List of positive integer factors of 7081 that divides 7081 without a remainder.
1, 73, 97, 7081
Factors of 7089
List of positive integer factors of 7089 that divides 7089 without a remainder.
1, 3, 17, 51, 139, 417, 2363, 7089
Least Common Multiple of 7081 and 7089 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7081 and 7089, than apply into the LCM equation.
GCF(7081,7089) = 1
LCM(7081,7089) = ( 7081 × 7089) / 1
LCM(7081,7089) = 50197209 / 1
LCM(7081,7089) = 50197209
Properties of LCM 7081 and 7089
(i) The LCM of 7089 and 7081 is associative
LCM of 7081 and 7089 = LCM of 7089 and 7081
Related Least Common Multiples of 7081
Related Least Common Multiples of 7089
Frequently Asked Questions on LCM of 7081 and 7089
1. What is the LCM of 7081 and 7089?
Answer: LCM of 7081 and 7089 is 50197209.
2. What are the Factors of 7081?
Answer: Factors of 7081 are 1, 73, 97, 7081. There are 4 integers that are factors of 7081. The greatest factor of 7081 is 7081.
3. What are the Factors of 7089?
Answer: Factors of 7089 are 1, 3, 17, 51, 139, 417, 2363, 7089. There are 8 integers that are factors of 7089. The greatest factor of 7089 is 7089.
4. How to Find the LCM of 7081 and 7089?
Answer:
Least Common Multiple of 7081 and 7089 = 50197209
Step 1: Find the prime factorization of 7081
7081 = 73 x 97
Step 2: Find the prime factorization of 7089
7089 = 3 x 17 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 50197209 = 3 x 17 x 73 x 97 x 139
Step 4: Therefore, the least common multiple of 7081 and 7089 is 50197209.