Least Common Multiple of 7089 and 7094

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 7094 the smallest integer that is 50289366 that is divisible by both numbers.

Least Common Multiple (LCM) of 7089 and 7094 is 50289366.

LCM(7089,7094) = 50289366

LCM of 7089 and 7094

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

LCM of:
and

Least Common Multiple of 7089 and 7094

LCM of 7089 and 7094 is 50289366

Least common multiple can be found by multiplying the highest exponent prime factors of 7089 and 7094. First we will calculate the prime factors of 7089 and 7094.

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 7094


2 7094
3547 3547
1

Prime factors of 7094 are 2,3547. Prime factorization of 7094 in exponential form is:

7094 = 21×35471

Now multiplying the highest exponent prime factors to calculate the LCM of 7089 and 7094.

LCM(7089,7094) = 21×31×171×1391×35471
LCM(7089,7094) = 50289366

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 7094

List of positive integer factors of 7094 that divides 7094 without a remainder.

1, 2, 3547, 7094

Least Common Multiple of 7089 and 7094 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 7094, than apply into the LCM equation.

GCF(7089,7094) = 1
LCM(7089,7094) = ( 7089 × 7094) / 1
LCM(7089,7094) = 50289366 / 1
LCM(7089,7094) = 50289366

Properties of LCM 7089 and 7094

(i) The LCM of 7094 and 7089 is associative

LCM of 7089 and 7094 = LCM of 7094 and 7089

Related Least Common Multiples of 7089

Related Least Common Multiples of 7094

Frequently Asked Questions on LCM of 7089 and 7094

1. What is the LCM of 7089 and 7094?

Answer: LCM of 7089 and 7094 is 50289366.

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 7094?

Answer: Factors of 7094 are 1, 2, 3547, 7094. There are 4 integers that are factors of 7094. The greatest factor of 7094 is 7094.

4. How to Find the LCM of 7089 and 7094?

Answer:

Least Common Multiple of 7089 and 7094 = 50289366

Step 1: Find the prime factorization of 7089

7089 = 3 x 17 x 139

Step 2: Find the prime factorization of 7094

7094 = 2 x 3547

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 50289366 = 2 x 3 x 17 x 139 x 3547

Step 4: Therefore, the least common multiple of 7089 and 7094 is 50289366.