Least Common Multiple of 6021 and 6027

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6021 and 6027 the smallest integer that is 12096189 that is divisible by both numbers.

Least Common Multiple (LCM) of 6021 and 6027 is 12096189.

LCM(6021,6027) = 12096189

LCM of 6021 and 6027

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

LCM of:
and

Least Common Multiple of 6021 and 6027

LCM of 6021 and 6027 is 12096189

Least common multiple can be found by multiplying the highest exponent prime factors of 6021 and 6027. First we will calculate the prime factors of 6021 and 6027.

Prime Factorization of 6021


3 6021
3 2007
3 669
223 223
1

Prime factors of 6021 are 3,223. Prime factorization of 6021 in exponential form is:

6021 = 33×2231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6021 and 6027.

LCM(6021,6027) = 33×72×411×2231
LCM(6021,6027) = 12096189

Factors of 6021

List of positive integer factors of 6021 that divides 6021 without a remainder.

1, 3, 9, 27, 223, 669, 2007, 6021

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

Least Common Multiple of 6021 and 6027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6021 and 6027, than apply into the LCM equation.

GCF(6021,6027) = 3
LCM(6021,6027) = ( 6021 × 6027) / 3
LCM(6021,6027) = 36288567 / 3
LCM(6021,6027) = 12096189

Properties of LCM 6021 and 6027

(i) The LCM of 6027 and 6021 is associative

LCM of 6021 and 6027 = LCM of 6027 and 6021

Related Least Common Multiples of 6021

Related Least Common Multiples of 6027

Frequently Asked Questions on LCM of 6021 and 6027

1. What is the LCM of 6021 and 6027?

Answer: LCM of 6021 and 6027 is 12096189.

2. What are the Factors of 6021?

Answer: Factors of 6021 are 1, 3, 9, 27, 223, 669, 2007, 6021. There are 8 integers that are factors of 6021. The greatest factor of 6021 is 6021.

3. 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.

4. How to Find the LCM of 6021 and 6027?

Answer:

Least Common Multiple of 6021 and 6027 = 12096189

Step 1: Find the prime factorization of 6021

6021 = 3 x 3 x 3 x 223

Step 2: Find the prime factorization of 6027

6027 = 3 x 7 x 7 x 41

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

LCM = 12096189 = 3 x 3 x 3 x 7 x 7 x 41 x 223

Step 4: Therefore, the least common multiple of 6021 and 6027 is 12096189.