Least Common Multiple of 6081 and 6082

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6081 and 6082 the smallest integer that is 36984642 that is divisible by both numbers.

Least Common Multiple (LCM) of 6081 and 6082 is 36984642.

LCM(6081,6082) = 36984642

LCM of 6081 and 6082

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

LCM of:
and

Least Common Multiple of 6081 and 6082

LCM of 6081 and 6082 is 36984642

Least common multiple can be found by multiplying the highest exponent prime factors of 6081 and 6082. First we will calculate the prime factors of 6081 and 6082.

Prime Factorization of 6081


3 6081
2027 2027
1

Prime factors of 6081 are 3,2027. Prime factorization of 6081 in exponential form is:

6081 = 31×20271

Prime Factorization of 6082


2 6082
3041 3041
1

Prime factors of 6082 are 2,3041. Prime factorization of 6082 in exponential form is:

6082 = 21×30411

Now multiplying the highest exponent prime factors to calculate the LCM of 6081 and 6082.

LCM(6081,6082) = 21×31×20271×30411
LCM(6081,6082) = 36984642

Factors of 6081

List of positive integer factors of 6081 that divides 6081 without a remainder.

1, 3, 2027, 6081

Factors of 6082

List of positive integer factors of 6082 that divides 6082 without a remainder.

1, 2, 3041, 6082

Least Common Multiple of 6081 and 6082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6081 and 6082, than apply into the LCM equation.

GCF(6081,6082) = 1
LCM(6081,6082) = ( 6081 × 6082) / 1
LCM(6081,6082) = 36984642 / 1
LCM(6081,6082) = 36984642

Properties of LCM 6081 and 6082

(i) The LCM of 6082 and 6081 is associative

LCM of 6081 and 6082 = LCM of 6082 and 6081

Related Least Common Multiples of 6081

Related Least Common Multiples of 6082

Frequently Asked Questions on LCM of 6081 and 6082

1. What is the LCM of 6081 and 6082?

Answer: LCM of 6081 and 6082 is 36984642.

2. What are the Factors of 6081?

Answer: Factors of 6081 are 1, 3, 2027, 6081. There are 4 integers that are factors of 6081. The greatest factor of 6081 is 6081.

3. What are the Factors of 6082?

Answer: Factors of 6082 are 1, 2, 3041, 6082. There are 4 integers that are factors of 6082. The greatest factor of 6082 is 6082.

4. How to Find the LCM of 6081 and 6082?

Answer:

Least Common Multiple of 6081 and 6082 = 36984642

Step 1: Find the prime factorization of 6081

6081 = 3 x 2027

Step 2: Find the prime factorization of 6082

6082 = 2 x 3041

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

LCM = 36984642 = 2 x 3 x 2027 x 3041

Step 4: Therefore, the least common multiple of 6081 and 6082 is 36984642.