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 7096 the smallest integer that is 50303544 that is divisible by both numbers.
Least Common Multiple (LCM) of 7089 and 7096 is 50303544.
LCM(7089,7096) = 50303544
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 7089 and 7096. First we will calculate the prime factors of 7089 and 7096.
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 7096
2 | 7096 |
2 | 3548 |
2 | 1774 |
887 | 887 |
1 |
Prime factors of 7096 are 2,887. Prime factorization of 7096 in exponential form is:
7096 = 23×8871
Now multiplying the highest exponent prime factors to calculate the LCM of 7089 and 7096.
LCM(7089,7096) = 23×31×171×1391×8871
LCM(7089,7096) = 50303544
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 7096
List of positive integer factors of 7096 that divides 7096 without a remainder.
1, 2, 4, 8, 887, 1774, 3548, 7096
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7089 and 7096, than apply into the LCM equation.
GCF(7089,7096) = 1
LCM(7089,7096) = ( 7089 × 7096) / 1
LCM(7089,7096) = 50303544 / 1
LCM(7089,7096) = 50303544
(i) The LCM of 7096 and 7089 is associative
LCM of 7089 and 7096 = LCM of 7096 and 7089
1. What is the LCM of 7089 and 7096?
Answer: LCM of 7089 and 7096 is 50303544.
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 7096?
Answer: Factors of 7096 are 1, 2, 4, 8, 887, 1774, 3548, 7096. There are 8 integers that are factors of 7096. The greatest factor of 7096 is 7096.
4. How to Find the LCM of 7089 and 7096?
Answer:
Least Common Multiple of 7089 and 7096 = 50303544
Step 1: Find the prime factorization of 7089
7089 = 3 x 17 x 139
Step 2: Find the prime factorization of 7096
7096 = 2 x 2 x 2 x 887
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 50303544 = 2 x 2 x 2 x 3 x 17 x 139 x 887
Step 4: Therefore, the least common multiple of 7089 and 7096 is 50303544.