Least Common Multiple of 6078 and 6083

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 6083 the smallest integer that is 36972474 that is divisible by both numbers.

Least Common Multiple (LCM) of 6078 and 6083 is 36972474.

LCM(6078,6083) = 36972474

LCM of 6078 and 6083

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

LCM of:
and

Least Common Multiple of 6078 and 6083

LCM of 6078 and 6083 is 36972474

Least common multiple can be found by multiplying the highest exponent prime factors of 6078 and 6083. First we will calculate the prime factors of 6078 and 6083.

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 6083


7 6083
11 869
79 79
1

Prime factors of 6083 are 7, 11,79. Prime factorization of 6083 in exponential form is:

6083 = 71×111×791

Now multiplying the highest exponent prime factors to calculate the LCM of 6078 and 6083.

LCM(6078,6083) = 21×31×71×111×791×10131
LCM(6078,6083) = 36972474

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 6083

List of positive integer factors of 6083 that divides 6083 without a remainder.

1, 7, 11, 77, 79, 553, 869, 6083

Least Common Multiple of 6078 and 6083 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 6083, than apply into the LCM equation.

GCF(6078,6083) = 1
LCM(6078,6083) = ( 6078 × 6083) / 1
LCM(6078,6083) = 36972474 / 1
LCM(6078,6083) = 36972474

Properties of LCM 6078 and 6083

(i) The LCM of 6083 and 6078 is associative

LCM of 6078 and 6083 = LCM of 6083 and 6078

Related Least Common Multiples of 6078

Related Least Common Multiples of 6083

Frequently Asked Questions on LCM of 6078 and 6083

1. What is the LCM of 6078 and 6083?

Answer: LCM of 6078 and 6083 is 36972474.

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 6083?

Answer: Factors of 6083 are 1, 7, 11, 77, 79, 553, 869, 6083. There are 8 integers that are factors of 6083. The greatest factor of 6083 is 6083.

4. How to Find the LCM of 6078 and 6083?

Answer:

Least Common Multiple of 6078 and 6083 = 36972474

Step 1: Find the prime factorization of 6078

6078 = 2 x 3 x 1013

Step 2: Find the prime factorization of 6083

6083 = 7 x 11 x 79

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

LCM = 36972474 = 2 x 3 x 7 x 11 x 79 x 1013

Step 4: Therefore, the least common multiple of 6078 and 6083 is 36972474.