Least Common Multiple of 6086 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 6086 and 6093 the smallest integer that is 37081998 that is divisible by both numbers.

Least Common Multiple (LCM) of 6086 and 6093 is 37081998.

LCM(6086,6093) = 37081998

LCM of 6086 and 6093

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

LCM of:
and

Least Common Multiple of 6086 and 6093

LCM of 6086 and 6093 is 37081998

Least common multiple can be found by multiplying the highest exponent prime factors of 6086 and 6093. First we will calculate the prime factors of 6086 and 6093.

Prime Factorization of 6086


2 6086
17 3043
179 179
1

Prime factors of 6086 are 2, 17,179. Prime factorization of 6086 in exponential form is:

6086 = 21×171×1791

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 6086 and 6093.

LCM(6086,6093) = 21×32×171×1791×6771
LCM(6086,6093) = 37081998

Factors of 6086

List of positive integer factors of 6086 that divides 6086 without a remainder.

1, 2, 17, 34, 179, 358, 3043, 6086

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 6086 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 6086 and 6093, than apply into the LCM equation.

GCF(6086,6093) = 1
LCM(6086,6093) = ( 6086 × 6093) / 1
LCM(6086,6093) = 37081998 / 1
LCM(6086,6093) = 37081998

Properties of LCM 6086 and 6093

(i) The LCM of 6093 and 6086 is associative

LCM of 6086 and 6093 = LCM of 6093 and 6086

Related Least Common Multiples of 6086

Related Least Common Multiples of 6093

Frequently Asked Questions on LCM of 6086 and 6093

1. What is the LCM of 6086 and 6093?

Answer: LCM of 6086 and 6093 is 37081998.

2. What are the Factors of 6086?

Answer: Factors of 6086 are 1, 2, 17, 34, 179, 358, 3043, 6086. There are 8 integers that are factors of 6086. The greatest factor of 6086 is 6086.

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 6086 and 6093?

Answer:

Least Common Multiple of 6086 and 6093 = 37081998

Step 1: Find the prime factorization of 6086

6086 = 2 x 17 x 179

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 = 37081998 = 2 x 3 x 3 x 17 x 179 x 677

Step 4: Therefore, the least common multiple of 6086 and 6093 is 37081998.