Least Common Multiple of 6036 and 6039

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6036 and 6039 the smallest integer that is 12150468 that is divisible by both numbers.

Least Common Multiple (LCM) of 6036 and 6039 is 12150468.

LCM(6036,6039) = 12150468

LCM of 6036 and 6039

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

LCM of:
and

Least Common Multiple of 6036 and 6039

LCM of 6036 and 6039 is 12150468

Least common multiple can be found by multiplying the highest exponent prime factors of 6036 and 6039. First we will calculate the prime factors of 6036 and 6039.

Prime Factorization of 6036


2 6036
2 3018
3 1509
503 503
1

Prime factors of 6036 are 2, 3,503. Prime factorization of 6036 in exponential form is:

6036 = 22×31×5031

Prime Factorization of 6039


3 6039
3 2013
11 671
61 61
1

Prime factors of 6039 are 3, 11,61. Prime factorization of 6039 in exponential form is:

6039 = 32×111×611

Now multiplying the highest exponent prime factors to calculate the LCM of 6036 and 6039.

LCM(6036,6039) = 22×32×111×611×5031
LCM(6036,6039) = 12150468

Factors of 6036

List of positive integer factors of 6036 that divides 6036 without a remainder.

1, 2, 3, 4, 6, 12, 503, 1006, 1509, 2012, 3018, 6036

Factors of 6039

List of positive integer factors of 6039 that divides 6039 without a remainder.

1, 3, 9, 11, 33, 61, 99, 183, 549, 671, 2013, 6039

Least Common Multiple of 6036 and 6039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6036 and 6039, than apply into the LCM equation.

GCF(6036,6039) = 3
LCM(6036,6039) = ( 6036 × 6039) / 3
LCM(6036,6039) = 36451404 / 3
LCM(6036,6039) = 12150468

Properties of LCM 6036 and 6039

(i) The LCM of 6039 and 6036 is associative

LCM of 6036 and 6039 = LCM of 6039 and 6036

Related Least Common Multiples of 6036

Related Least Common Multiples of 6039

Frequently Asked Questions on LCM of 6036 and 6039

1. What is the LCM of 6036 and 6039?

Answer: LCM of 6036 and 6039 is 12150468.

2. What are the Factors of 6036?

Answer: Factors of 6036 are 1, 2, 3, 4, 6, 12, 503, 1006, 1509, 2012, 3018, 6036. There are 12 integers that are factors of 6036. The greatest factor of 6036 is 6036.

3. What are the Factors of 6039?

Answer: Factors of 6039 are 1, 3, 9, 11, 33, 61, 99, 183, 549, 671, 2013, 6039. There are 12 integers that are factors of 6039. The greatest factor of 6039 is 6039.

4. How to Find the LCM of 6036 and 6039?

Answer:

Least Common Multiple of 6036 and 6039 = 12150468

Step 1: Find the prime factorization of 6036

6036 = 2 x 2 x 3 x 503

Step 2: Find the prime factorization of 6039

6039 = 3 x 3 x 11 x 61

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

LCM = 12150468 = 2 x 2 x 3 x 3 x 11 x 61 x 503

Step 4: Therefore, the least common multiple of 6036 and 6039 is 12150468.