Least Common Multiple of 6078 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 6078 and 6082 the smallest integer that is 18483198 that is divisible by both numbers.

Least Common Multiple (LCM) of 6078 and 6082 is 18483198.

LCM(6078,6082) = 18483198

LCM of 6078 and 6082

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

LCM of:
and

Least Common Multiple of 6078 and 6082

LCM of 6078 and 6082 is 18483198

Least common multiple can be found by multiplying the highest exponent prime factors of 6078 and 6082. First we will calculate the prime factors of 6078 and 6082.

Prime Factorization of 6078


2 6078
3 3039
1013 1013
1

Prime factors of 6078 are 2, 3,1013. Prime factorization of 6078 in exponential form is:

6078 = 21×31×10131

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 6078 and 6082.

LCM(6078,6082) = 21×31×10131×30411
LCM(6078,6082) = 18483198

Factors of 6078

List of positive integer factors of 6078 that divides 6078 without a remainder.

1, 2, 3, 6, 1013, 2026, 3039, 6078

Factors of 6082

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

1, 2, 3041, 6082

Least Common Multiple of 6078 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 6078 and 6082, than apply into the LCM equation.

GCF(6078,6082) = 2
LCM(6078,6082) = ( 6078 × 6082) / 2
LCM(6078,6082) = 36966396 / 2
LCM(6078,6082) = 18483198

Properties of LCM 6078 and 6082

(i) The LCM of 6082 and 6078 is associative

LCM of 6078 and 6082 = LCM of 6082 and 6078

Related Least Common Multiples of 6078

Related Least Common Multiples of 6082

Frequently Asked Questions on LCM of 6078 and 6082

1. What is the LCM of 6078 and 6082?

Answer: LCM of 6078 and 6082 is 18483198.

2. What are the Factors of 6078?

Answer: Factors of 6078 are 1, 2, 3, 6, 1013, 2026, 3039, 6078. There are 8 integers that are factors of 6078. The greatest factor of 6078 is 6078.

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 6078 and 6082?

Answer:

Least Common Multiple of 6078 and 6082 = 18483198

Step 1: Find the prime factorization of 6078

6078 = 2 x 3 x 1013

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 = 18483198 = 2 x 3 x 1013 x 3041

Step 4: Therefore, the least common multiple of 6078 and 6082 is 18483198.