Least Common Multiple of 3087 and 3089

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3087 and 3089 the smallest integer that is 9535743 that is divisible by both numbers.

Least Common Multiple (LCM) of 3087 and 3089 is 9535743.

LCM(3087,3089) = 9535743

LCM of 3087 and 3089

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

LCM of:
and

Least Common Multiple of 3087 and 3089

LCM of 3087 and 3089 is 9535743

Least common multiple can be found by multiplying the highest exponent prime factors of 3087 and 3089. First we will calculate the prime factors of 3087 and 3089.

Prime Factorization of 3087


3 3087
3 1029
7 343
7 49
7 7
1

Prime factors of 3087 are 3,7. Prime factorization of 3087 in exponential form is:

3087 = 32×73

Prime Factorization of 3089


3089 3089
1

Prime factors of 3089 are 3089. Prime factorization of 3089 in exponential form is:

3089 = 30891

Now multiplying the highest exponent prime factors to calculate the LCM of 3087 and 3089.

LCM(3087,3089) = 32×73×30891
LCM(3087,3089) = 9535743

Factors of 3087

List of positive integer factors of 3087 that divides 3087 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 343, 441, 1029, 3087

Factors of 3089

List of positive integer factors of 3089 that divides 3089 without a remainder.

1, 3089

Least Common Multiple of 3087 and 3089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3087 and 3089, than apply into the LCM equation.

GCF(3087,3089) = 1
LCM(3087,3089) = ( 3087 × 3089) / 1
LCM(3087,3089) = 9535743 / 1
LCM(3087,3089) = 9535743

Properties of LCM 3087 and 3089

(i) The LCM of 3089 and 3087 is associative

LCM of 3087 and 3089 = LCM of 3089 and 3087

Related Least Common Multiples of 3087

Related Least Common Multiples of 3089

Frequently Asked Questions on LCM of 3087 and 3089

1. What is the LCM of 3087 and 3089?

Answer: LCM of 3087 and 3089 is 9535743.

2. What are the Factors of 3087?

Answer: Factors of 3087 are 1, 3, 7, 9, 21, 49, 63, 147, 343, 441, 1029, 3087. There are 12 integers that are factors of 3087. The greatest factor of 3087 is 3087.

3. What are the Factors of 3089?

Answer: Factors of 3089 are 1, 3089. There are 2 integers that are factors of 3089. The greatest factor of 3089 is 3089.

4. How to Find the LCM of 3087 and 3089?

Answer:

Least Common Multiple of 3087 and 3089 = 9535743

Step 1: Find the prime factorization of 3087

3087 = 3 x 3 x 7 x 7 x 7

Step 2: Find the prime factorization of 3089

3089 = 3089

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

LCM = 9535743 = 3 x 3 x 7 x 7 x 7 x 3089

Step 4: Therefore, the least common multiple of 3087 and 3089 is 9535743.