Least Common Multiple of 3085 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 3085 and 3089 the smallest integer that is 9529565 that is divisible by both numbers.

Least Common Multiple (LCM) of 3085 and 3089 is 9529565.

LCM(3085,3089) = 9529565

LCM of 3085 and 3089

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

LCM of:
and

Least Common Multiple of 3085 and 3089

LCM of 3085 and 3089 is 9529565

Least common multiple can be found by multiplying the highest exponent prime factors of 3085 and 3089. First we will calculate the prime factors of 3085 and 3089.

Prime Factorization of 3085


5 3085
617 617
1

Prime factors of 3085 are 5,617. Prime factorization of 3085 in exponential form is:

3085 = 51×6171

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 3085 and 3089.

LCM(3085,3089) = 51×6171×30891
LCM(3085,3089) = 9529565

Factors of 3085

List of positive integer factors of 3085 that divides 3085 without a remainder.

1, 5, 617, 3085

Factors of 3089

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

1, 3089

Least Common Multiple of 3085 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 3085 and 3089, than apply into the LCM equation.

GCF(3085,3089) = 1
LCM(3085,3089) = ( 3085 × 3089) / 1
LCM(3085,3089) = 9529565 / 1
LCM(3085,3089) = 9529565

Properties of LCM 3085 and 3089

(i) The LCM of 3089 and 3085 is associative

LCM of 3085 and 3089 = LCM of 3089 and 3085

Related Least Common Multiples of 3085

Related Least Common Multiples of 3089

Frequently Asked Questions on LCM of 3085 and 3089

1. What is the LCM of 3085 and 3089?

Answer: LCM of 3085 and 3089 is 9529565.

2. What are the Factors of 3085?

Answer: Factors of 3085 are 1, 5, 617, 3085. There are 4 integers that are factors of 3085. The greatest factor of 3085 is 3085.

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 3085 and 3089?

Answer:

Least Common Multiple of 3085 and 3089 = 9529565

Step 1: Find the prime factorization of 3085

3085 = 5 x 617

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 = 9529565 = 5 x 617 x 3089

Step 4: Therefore, the least common multiple of 3085 and 3089 is 9529565.