Least Common Multiple of 6027 and 6029

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 6029 the smallest integer that is 36336783 that is divisible by both numbers.

Least Common Multiple (LCM) of 6027 and 6029 is 36336783.

LCM(6027,6029) = 36336783

LCM of 6027 and 6029

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

LCM of:
and

Least Common Multiple of 6027 and 6029

LCM of 6027 and 6029 is 36336783

Least common multiple can be found by multiplying the highest exponent prime factors of 6027 and 6029. First we will calculate the prime factors of 6027 and 6029.

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 6029


6029 6029
1

Prime factors of 6029 are 6029. Prime factorization of 6029 in exponential form is:

6029 = 60291

Now multiplying the highest exponent prime factors to calculate the LCM of 6027 and 6029.

LCM(6027,6029) = 31×72×411×60291
LCM(6027,6029) = 36336783

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 6029

List of positive integer factors of 6029 that divides 6029 without a remainder.

1, 6029

Least Common Multiple of 6027 and 6029 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 6029, than apply into the LCM equation.

GCF(6027,6029) = 1
LCM(6027,6029) = ( 6027 × 6029) / 1
LCM(6027,6029) = 36336783 / 1
LCM(6027,6029) = 36336783

Properties of LCM 6027 and 6029

(i) The LCM of 6029 and 6027 is associative

LCM of 6027 and 6029 = LCM of 6029 and 6027

Related Least Common Multiples of 6027

Related Least Common Multiples of 6029

Frequently Asked Questions on LCM of 6027 and 6029

1. What is the LCM of 6027 and 6029?

Answer: LCM of 6027 and 6029 is 36336783.

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 6029?

Answer: Factors of 6029 are 1, 6029. There are 2 integers that are factors of 6029. The greatest factor of 6029 is 6029.

4. How to Find the LCM of 6027 and 6029?

Answer:

Least Common Multiple of 6027 and 6029 = 36336783

Step 1: Find the prime factorization of 6027

6027 = 3 x 7 x 7 x 41

Step 2: Find the prime factorization of 6029

6029 = 6029

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

LCM = 36336783 = 3 x 7 x 7 x 41 x 6029

Step 4: Therefore, the least common multiple of 6027 and 6029 is 36336783.