Least Common Multiple of 6082 and 6087

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6082 and 6087 the smallest integer that is 37021134 that is divisible by both numbers.

Least Common Multiple (LCM) of 6082 and 6087 is 37021134.

LCM(6082,6087) = 37021134

LCM of 6082 and 6087

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

LCM of:
and

Least Common Multiple of 6082 and 6087

LCM of 6082 and 6087 is 37021134

Least common multiple can be found by multiplying the highest exponent prime factors of 6082 and 6087. First we will calculate the prime factors of 6082 and 6087.

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

Prime Factorization of 6087


3 6087
2029 2029
1

Prime factors of 6087 are 3,2029. Prime factorization of 6087 in exponential form is:

6087 = 31×20291

Now multiplying the highest exponent prime factors to calculate the LCM of 6082 and 6087.

LCM(6082,6087) = 21×31×20291×30411
LCM(6082,6087) = 37021134

Factors of 6082

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

1, 2, 3041, 6082

Factors of 6087

List of positive integer factors of 6087 that divides 6087 without a remainder.

1, 3, 2029, 6087

Least Common Multiple of 6082 and 6087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6082 and 6087, than apply into the LCM equation.

GCF(6082,6087) = 1
LCM(6082,6087) = ( 6082 × 6087) / 1
LCM(6082,6087) = 37021134 / 1
LCM(6082,6087) = 37021134

Properties of LCM 6082 and 6087

(i) The LCM of 6087 and 6082 is associative

LCM of 6082 and 6087 = LCM of 6087 and 6082

Related Least Common Multiples of 6082

Related Least Common Multiples of 6087

Frequently Asked Questions on LCM of 6082 and 6087

1. What is the LCM of 6082 and 6087?

Answer: LCM of 6082 and 6087 is 37021134.

2. 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.

3. What are the Factors of 6087?

Answer: Factors of 6087 are 1, 3, 2029, 6087. There are 4 integers that are factors of 6087. The greatest factor of 6087 is 6087.

4. How to Find the LCM of 6082 and 6087?

Answer:

Least Common Multiple of 6082 and 6087 = 37021134

Step 1: Find the prime factorization of 6082

6082 = 2 x 3041

Step 2: Find the prime factorization of 6087

6087 = 3 x 2029

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

LCM = 37021134 = 2 x 3 x 2029 x 3041

Step 4: Therefore, the least common multiple of 6082 and 6087 is 37021134.