Least Common Multiple of 6027 and 6033

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6027 and 6033 the smallest integer that is 12120297 that is divisible by both numbers.

Least Common Multiple (LCM) of 6027 and 6033 is 12120297.

LCM(6027,6033) = 12120297

LCM of 6027 and 6033

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

LCM of:
and

Least Common Multiple of 6027 and 6033

LCM of 6027 and 6033 is 12120297

Least common multiple can be found by multiplying the highest exponent prime factors of 6027 and 6033. First we will calculate the prime factors of 6027 and 6033.

Prime Factorization of 6027


3 6027
7 2009
7 287
41 41
1

Prime factors of 6027 are 3, 7,41. Prime factorization of 6027 in exponential form is:

6027 = 31×72×411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6027 and 6033.

LCM(6027,6033) = 31×72×411×20111
LCM(6027,6033) = 12120297

Factors of 6027

List of positive integer factors of 6027 that divides 6027 without a remainder.

1, 3, 7, 21, 41, 49, 123, 147, 287, 861, 2009, 6027

Factors of 6033

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

1, 3, 2011, 6033

Least Common Multiple of 6027 and 6033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6027 and 6033, than apply into the LCM equation.

GCF(6027,6033) = 3
LCM(6027,6033) = ( 6027 × 6033) / 3
LCM(6027,6033) = 36360891 / 3
LCM(6027,6033) = 12120297

Properties of LCM 6027 and 6033

(i) The LCM of 6033 and 6027 is associative

LCM of 6027 and 6033 = LCM of 6033 and 6027

Related Least Common Multiples of 6027

Related Least Common Multiples of 6033

Frequently Asked Questions on LCM of 6027 and 6033

1. What is the LCM of 6027 and 6033?

Answer: LCM of 6027 and 6033 is 12120297.

2. What are the Factors of 6027?

Answer: Factors of 6027 are 1, 3, 7, 21, 41, 49, 123, 147, 287, 861, 2009, 6027. There are 12 integers that are factors of 6027. The greatest factor of 6027 is 6027.

3. 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.

4. How to Find the LCM of 6027 and 6033?

Answer:

Least Common Multiple of 6027 and 6033 = 12120297

Step 1: Find the prime factorization of 6027

6027 = 3 x 7 x 7 x 41

Step 2: Find the prime factorization of 6033

6033 = 3 x 2011

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

LCM = 12120297 = 3 x 7 x 7 x 41 x 2011

Step 4: Therefore, the least common multiple of 6027 and 6033 is 12120297.