Least Common Multiple of 6085 and 6093

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6085 and 6093 the smallest integer that is 37075905 that is divisible by both numbers.

Least Common Multiple (LCM) of 6085 and 6093 is 37075905.

LCM(6085,6093) = 37075905

LCM of 6085 and 6093

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

LCM of:
and

Least Common Multiple of 6085 and 6093

LCM of 6085 and 6093 is 37075905

Least common multiple can be found by multiplying the highest exponent prime factors of 6085 and 6093. First we will calculate the prime factors of 6085 and 6093.

Prime Factorization of 6085


5 6085
1217 1217
1

Prime factors of 6085 are 5,1217. Prime factorization of 6085 in exponential form is:

6085 = 51×12171

Prime Factorization of 6093


3 6093
3 2031
677 677
1

Prime factors of 6093 are 3,677. Prime factorization of 6093 in exponential form is:

6093 = 32×6771

Now multiplying the highest exponent prime factors to calculate the LCM of 6085 and 6093.

LCM(6085,6093) = 32×51×6771×12171
LCM(6085,6093) = 37075905

Factors of 6085

List of positive integer factors of 6085 that divides 6085 without a remainder.

1, 5, 1217, 6085

Factors of 6093

List of positive integer factors of 6093 that divides 6093 without a remainder.

1, 3, 9, 677, 2031, 6093

Least Common Multiple of 6085 and 6093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6085 and 6093, than apply into the LCM equation.

GCF(6085,6093) = 1
LCM(6085,6093) = ( 6085 × 6093) / 1
LCM(6085,6093) = 37075905 / 1
LCM(6085,6093) = 37075905

Properties of LCM 6085 and 6093

(i) The LCM of 6093 and 6085 is associative

LCM of 6085 and 6093 = LCM of 6093 and 6085

Related Least Common Multiples of 6085

Related Least Common Multiples of 6093

Frequently Asked Questions on LCM of 6085 and 6093

1. What is the LCM of 6085 and 6093?

Answer: LCM of 6085 and 6093 is 37075905.

2. What are the Factors of 6085?

Answer: Factors of 6085 are 1, 5, 1217, 6085. There are 4 integers that are factors of 6085. The greatest factor of 6085 is 6085.

3. What are the Factors of 6093?

Answer: Factors of 6093 are 1, 3, 9, 677, 2031, 6093. There are 6 integers that are factors of 6093. The greatest factor of 6093 is 6093.

4. How to Find the LCM of 6085 and 6093?

Answer:

Least Common Multiple of 6085 and 6093 = 37075905

Step 1: Find the prime factorization of 6085

6085 = 5 x 1217

Step 2: Find the prime factorization of 6093

6093 = 3 x 3 x 677

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

LCM = 37075905 = 3 x 3 x 5 x 677 x 1217

Step 4: Therefore, the least common multiple of 6085 and 6093 is 37075905.