Least Common Multiple of 6021 and 6024

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 6024 the smallest integer that is 12090168 that is divisible by both numbers.

Least Common Multiple (LCM) of 6021 and 6024 is 12090168.

LCM(6021,6024) = 12090168

LCM of 6021 and 6024

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

LCM of:
and

Least Common Multiple of 6021 and 6024

LCM of 6021 and 6024 is 12090168

Least common multiple can be found by multiplying the highest exponent prime factors of 6021 and 6024. First we will calculate the prime factors of 6021 and 6024.

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 6024


2 6024
2 3012
2 1506
3 753
251 251
1

Prime factors of 6024 are 2, 3,251. Prime factorization of 6024 in exponential form is:

6024 = 23×31×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 6021 and 6024.

LCM(6021,6024) = 23×33×2231×2511
LCM(6021,6024) = 12090168

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 6024

List of positive integer factors of 6024 that divides 6024 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 251, 502, 753, 1004, 1506, 2008, 3012, 6024

Least Common Multiple of 6021 and 6024 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 6024, than apply into the LCM equation.

GCF(6021,6024) = 3
LCM(6021,6024) = ( 6021 × 6024) / 3
LCM(6021,6024) = 36270504 / 3
LCM(6021,6024) = 12090168

Properties of LCM 6021 and 6024

(i) The LCM of 6024 and 6021 is associative

LCM of 6021 and 6024 = LCM of 6024 and 6021

Related Least Common Multiples of 6021

Related Least Common Multiples of 6024

Frequently Asked Questions on LCM of 6021 and 6024

1. What is the LCM of 6021 and 6024?

Answer: LCM of 6021 and 6024 is 12090168.

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 6024?

Answer: Factors of 6024 are 1, 2, 3, 4, 6, 8, 12, 24, 251, 502, 753, 1004, 1506, 2008, 3012, 6024. There are 16 integers that are factors of 6024. The greatest factor of 6024 is 6024.

4. How to Find the LCM of 6021 and 6024?

Answer:

Least Common Multiple of 6021 and 6024 = 12090168

Step 1: Find the prime factorization of 6021

6021 = 3 x 3 x 3 x 223

Step 2: Find the prime factorization of 6024

6024 = 2 x 2 x 2 x 3 x 251

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

LCM = 12090168 = 2 x 2 x 2 x 3 x 3 x 3 x 223 x 251

Step 4: Therefore, the least common multiple of 6021 and 6024 is 12090168.