Least Common Multiple of 3085 and 3093

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 3093 the smallest integer that is 9541905 that is divisible by both numbers.

Least Common Multiple (LCM) of 3085 and 3093 is 9541905.

LCM(3085,3093) = 9541905

LCM of 3085 and 3093

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

LCM of:
and

Least Common Multiple of 3085 and 3093

LCM of 3085 and 3093 is 9541905

Least common multiple can be found by multiplying the highest exponent prime factors of 3085 and 3093. First we will calculate the prime factors of 3085 and 3093.

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 3093


3 3093
1031 1031
1

Prime factors of 3093 are 3,1031. Prime factorization of 3093 in exponential form is:

3093 = 31×10311

Now multiplying the highest exponent prime factors to calculate the LCM of 3085 and 3093.

LCM(3085,3093) = 31×51×6171×10311
LCM(3085,3093) = 9541905

Factors of 3085

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

1, 5, 617, 3085

Factors of 3093

List of positive integer factors of 3093 that divides 3093 without a remainder.

1, 3, 1031, 3093

Least Common Multiple of 3085 and 3093 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 3093, than apply into the LCM equation.

GCF(3085,3093) = 1
LCM(3085,3093) = ( 3085 × 3093) / 1
LCM(3085,3093) = 9541905 / 1
LCM(3085,3093) = 9541905

Properties of LCM 3085 and 3093

(i) The LCM of 3093 and 3085 is associative

LCM of 3085 and 3093 = LCM of 3093 and 3085

Related Least Common Multiples of 3085

Related Least Common Multiples of 3093

Frequently Asked Questions on LCM of 3085 and 3093

1. What is the LCM of 3085 and 3093?

Answer: LCM of 3085 and 3093 is 9541905.

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 3093?

Answer: Factors of 3093 are 1, 3, 1031, 3093. There are 4 integers that are factors of 3093. The greatest factor of 3093 is 3093.

4. How to Find the LCM of 3085 and 3093?

Answer:

Least Common Multiple of 3085 and 3093 = 9541905

Step 1: Find the prime factorization of 3085

3085 = 5 x 617

Step 2: Find the prime factorization of 3093

3093 = 3 x 1031

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

LCM = 9541905 = 3 x 5 x 617 x 1031

Step 4: Therefore, the least common multiple of 3085 and 3093 is 9541905.