Least Common Multiple of 7089 and 7093
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7089 and 7093 the smallest integer that is 50282277 that is divisible by both numbers.
Least Common Multiple (LCM) of 7089 and 7093 is 50282277.
LCM(7089,7093) = 50282277
LCM of 7089 and 7093
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7089 and 7093 by Prime method
- Least Common Multiple of 7089 and 7093 with GCF Formula
LCM of 7089 and 7093 is 50282277
Least common multiple can be found by multiplying the highest exponent prime factors of 7089 and 7093. First we will calculate the prime factors of 7089 and 7093.
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
Prime Factorization of 7093
| 41 | 7093 |
| 173 | 173 |
| 1 |
Prime factors of 7093 are 41,173. Prime factorization of 7093 in exponential form is:
7093 = 411×1731
Now multiplying the highest exponent prime factors to calculate the LCM of 7089 and 7093.
LCM(7089,7093) = 31×171×411×1391×1731
LCM(7089,7093) = 50282277
Factors of 7089
List of positive integer factors of 7089 that divides 7089 without a remainder.
1, 3, 17, 51, 139, 417, 2363, 7089
Factors of 7093
List of positive integer factors of 7093 that divides 7093 without a remainder.
1, 41, 173, 7093
Least Common Multiple of 7089 and 7093 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7089 and 7093, than apply into the LCM equation.
GCF(7089,7093) = 1
LCM(7089,7093) = ( 7089 × 7093) / 1
LCM(7089,7093) = 50282277 / 1
LCM(7089,7093) = 50282277
Properties of LCM 7089 and 7093
(i) The LCM of 7093 and 7089 is associative
LCM of 7089 and 7093 = LCM of 7093 and 7089
Related Least Common Multiples of 7089
Related Least Common Multiples of 7093
Frequently Asked Questions on LCM of 7089 and 7093
1. What is the LCM of 7089 and 7093?
Answer: LCM of 7089 and 7093 is 50282277.
2. 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.
3. What are the Factors of 7093?
Answer: Factors of 7093 are 1, 41, 173, 7093. There are 4 integers that are factors of 7093. The greatest factor of 7093 is 7093.
4. How to Find the LCM of 7089 and 7093?
Answer:
Least Common Multiple of 7089 and 7093 = 50282277
Step 1: Find the prime factorization of 7089
7089 = 3 x 17 x 139
Step 2: Find the prime factorization of 7093
7093 = 41 x 173
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 50282277 = 3 x 17 x 41 x 139 x 173
Step 4: Therefore, the least common multiple of 7089 and 7093 is 50282277.