Least Common Multiple of 6086 and 6089

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 6089 the smallest integer that is 37057654 that is divisible by both numbers.

Least Common Multiple (LCM) of 6086 and 6089 is 37057654.

LCM(6086,6089) = 37057654

LCM of 6086 and 6089

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

LCM of:
and

Least Common Multiple of 6086 and 6089

LCM of 6086 and 6089 is 37057654

Least common multiple can be found by multiplying the highest exponent prime factors of 6086 and 6089. First we will calculate the prime factors of 6086 and 6089.

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 6089


6089 6089
1

Prime factors of 6089 are 6089. Prime factorization of 6089 in exponential form is:

6089 = 60891

Now multiplying the highest exponent prime factors to calculate the LCM of 6086 and 6089.

LCM(6086,6089) = 21×171×1791×60891
LCM(6086,6089) = 37057654

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 6089

List of positive integer factors of 6089 that divides 6089 without a remainder.

1, 6089

Least Common Multiple of 6086 and 6089 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 6089, than apply into the LCM equation.

GCF(6086,6089) = 1
LCM(6086,6089) = ( 6086 × 6089) / 1
LCM(6086,6089) = 37057654 / 1
LCM(6086,6089) = 37057654

Properties of LCM 6086 and 6089

(i) The LCM of 6089 and 6086 is associative

LCM of 6086 and 6089 = LCM of 6089 and 6086

Related Least Common Multiples of 6086

Related Least Common Multiples of 6089

Frequently Asked Questions on LCM of 6086 and 6089

1. What is the LCM of 6086 and 6089?

Answer: LCM of 6086 and 6089 is 37057654.

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 6089?

Answer: Factors of 6089 are 1, 6089. There are 2 integers that are factors of 6089. The greatest factor of 6089 is 6089.

4. How to Find the LCM of 6086 and 6089?

Answer:

Least Common Multiple of 6086 and 6089 = 37057654

Step 1: Find the prime factorization of 6086

6086 = 2 x 17 x 179

Step 2: Find the prime factorization of 6089

6089 = 6089

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

LCM = 37057654 = 2 x 17 x 179 x 6089

Step 4: Therefore, the least common multiple of 6086 and 6089 is 37057654.