Least Common Multiple of 6033 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 6033 and 6039 the smallest integer that is 12144429 that is divisible by both numbers.

Least Common Multiple (LCM) of 6033 and 6039 is 12144429.

LCM(6033,6039) = 12144429

LCM of 6033 and 6039

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

LCM of:
and

Least Common Multiple of 6033 and 6039

LCM of 6033 and 6039 is 12144429

Least common multiple can be found by multiplying the highest exponent prime factors of 6033 and 6039. First we will calculate the prime factors of 6033 and 6039.

Prime Factorization of 6033


3 6033
2011 2011
1

Prime factors of 6033 are 3,2011. Prime factorization of 6033 in exponential form is:

6033 = 31×20111

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 6033 and 6039.

LCM(6033,6039) = 32×111×611×20111
LCM(6033,6039) = 12144429

Factors of 6033

List of positive integer factors of 6033 that divides 6033 without a remainder.

1, 3, 2011, 6033

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 6033 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 6033 and 6039, than apply into the LCM equation.

GCF(6033,6039) = 3
LCM(6033,6039) = ( 6033 × 6039) / 3
LCM(6033,6039) = 36433287 / 3
LCM(6033,6039) = 12144429

Properties of LCM 6033 and 6039

(i) The LCM of 6039 and 6033 is associative

LCM of 6033 and 6039 = LCM of 6039 and 6033

Related Least Common Multiples of 6033

Related Least Common Multiples of 6039

Frequently Asked Questions on LCM of 6033 and 6039

1. What is the LCM of 6033 and 6039?

Answer: LCM of 6033 and 6039 is 12144429.

2. What are the Factors of 6033?

Answer: Factors of 6033 are 1, 3, 2011, 6033. There are 4 integers that are factors of 6033. The greatest factor of 6033 is 6033.

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 6033 and 6039?

Answer:

Least Common Multiple of 6033 and 6039 = 12144429

Step 1: Find the prime factorization of 6033

6033 = 3 x 2011

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 = 12144429 = 3 x 3 x 11 x 61 x 2011

Step 4: Therefore, the least common multiple of 6033 and 6039 is 12144429.