Least Common Multiple of 7089 and 7096

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

LCM of 7089 and 7096

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 7089 and 7096

LCM of 7089 and 7096 is 50303544

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

Least Common Multiple of 7089 and 7096 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 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

Properties of LCM 7089 and 7096

(i) The LCM of 7096 and 7089 is associative

LCM of 7089 and 7096 = LCM of 7096 and 7089

Related Least Common Multiples of 7089

Related Least Common Multiples of 7096

Frequently Asked Questions on LCM of 7089 and 7096

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.