Least Common Multiple of 7089 and 7095

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 7095 the smallest integer that is 16765485 that is divisible by both numbers.

Least Common Multiple (LCM) of 7089 and 7095 is 16765485.

LCM(7089,7095) = 16765485

LCM of 7089 and 7095

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

LCM of:
and

Least Common Multiple of 7089 and 7095

LCM of 7089 and 7095 is 16765485

Least common multiple can be found by multiplying the highest exponent prime factors of 7089 and 7095. First we will calculate the prime factors of 7089 and 7095.

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 7095


3 7095
5 2365
11 473
43 43
1

Prime factors of 7095 are 3, 5, 11,43. Prime factorization of 7095 in exponential form is:

7095 = 31×51×111×431

Now multiplying the highest exponent prime factors to calculate the LCM of 7089 and 7095.

LCM(7089,7095) = 31×51×111×171×431×1391
LCM(7089,7095) = 16765485

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 7095

List of positive integer factors of 7095 that divides 7095 without a remainder.

1, 3, 5, 11, 15, 33, 43, 55, 129, 165, 215, 473, 645, 1419, 2365, 7095

Least Common Multiple of 7089 and 7095 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 7095, than apply into the LCM equation.

GCF(7089,7095) = 3
LCM(7089,7095) = ( 7089 × 7095) / 3
LCM(7089,7095) = 50296455 / 3
LCM(7089,7095) = 16765485

Properties of LCM 7089 and 7095

(i) The LCM of 7095 and 7089 is associative

LCM of 7089 and 7095 = LCM of 7095 and 7089

Related Least Common Multiples of 7089

Related Least Common Multiples of 7095

Frequently Asked Questions on LCM of 7089 and 7095

1. What is the LCM of 7089 and 7095?

Answer: LCM of 7089 and 7095 is 16765485.

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 7095?

Answer: Factors of 7095 are 1, 3, 5, 11, 15, 33, 43, 55, 129, 165, 215, 473, 645, 1419, 2365, 7095. There are 16 integers that are factors of 7095. The greatest factor of 7095 is 7095.

4. How to Find the LCM of 7089 and 7095?

Answer:

Least Common Multiple of 7089 and 7095 = 16765485

Step 1: Find the prime factorization of 7089

7089 = 3 x 17 x 139

Step 2: Find the prime factorization of 7095

7095 = 3 x 5 x 11 x 43

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

LCM = 16765485 = 3 x 5 x 11 x 17 x 43 x 139

Step 4: Therefore, the least common multiple of 7089 and 7095 is 16765485.