Least Common Multiple of 6078 and 6086

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 6086 the smallest integer that is 18495354 that is divisible by both numbers.

Least Common Multiple (LCM) of 6078 and 6086 is 18495354.

LCM(6078,6086) = 18495354

LCM of 6078 and 6086

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

LCM of:
and

Least Common Multiple of 6078 and 6086

LCM of 6078 and 6086 is 18495354

Least common multiple can be found by multiplying the highest exponent prime factors of 6078 and 6086. First we will calculate the prime factors of 6078 and 6086.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 6078 and 6086.

LCM(6078,6086) = 21×31×171×1791×10131
LCM(6078,6086) = 18495354

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 6086

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

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

Least Common Multiple of 6078 and 6086 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 6086, than apply into the LCM equation.

GCF(6078,6086) = 2
LCM(6078,6086) = ( 6078 × 6086) / 2
LCM(6078,6086) = 36990708 / 2
LCM(6078,6086) = 18495354

Properties of LCM 6078 and 6086

(i) The LCM of 6086 and 6078 is associative

LCM of 6078 and 6086 = LCM of 6086 and 6078

Related Least Common Multiples of 6078

Related Least Common Multiples of 6086

Frequently Asked Questions on LCM of 6078 and 6086

1. What is the LCM of 6078 and 6086?

Answer: LCM of 6078 and 6086 is 18495354.

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 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.

4. How to Find the LCM of 6078 and 6086?

Answer:

Least Common Multiple of 6078 and 6086 = 18495354

Step 1: Find the prime factorization of 6078

6078 = 2 x 3 x 1013

Step 2: Find the prime factorization of 6086

6086 = 2 x 17 x 179

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

LCM = 18495354 = 2 x 3 x 17 x 179 x 1013

Step 4: Therefore, the least common multiple of 6078 and 6086 is 18495354.