Least Common Multiple of 6024 and 6030

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6024 and 6030 the smallest integer that is 6054120 that is divisible by both numbers.

Least Common Multiple (LCM) of 6024 and 6030 is 6054120.

LCM(6024,6030) = 6054120

LCM of 6024 and 6030

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

LCM of:
and

Least Common Multiple of 6024 and 6030

LCM of 6024 and 6030 is 6054120

Least common multiple can be found by multiplying the highest exponent prime factors of 6024 and 6030. First we will calculate the prime factors of 6024 and 6030.

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

Prime Factorization of 6030


2 6030
3 3015
3 1005
5 335
67 67
1

Prime factors of 6030 are 2, 3, 5,67. Prime factorization of 6030 in exponential form is:

6030 = 21×32×51×671

Now multiplying the highest exponent prime factors to calculate the LCM of 6024 and 6030.

LCM(6024,6030) = 23×32×51×671×2511
LCM(6024,6030) = 6054120

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

Factors of 6030

List of positive integer factors of 6030 that divides 6030 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 67, 90, 134, 201, 335, 402, 603, 670, 1005, 1206, 2010, 3015, 6030

Least Common Multiple of 6024 and 6030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6024 and 6030, than apply into the LCM equation.

GCF(6024,6030) = 6
LCM(6024,6030) = ( 6024 × 6030) / 6
LCM(6024,6030) = 36324720 / 6
LCM(6024,6030) = 6054120

Properties of LCM 6024 and 6030

(i) The LCM of 6030 and 6024 is associative

LCM of 6024 and 6030 = LCM of 6030 and 6024

Related Least Common Multiples of 6024

Related Least Common Multiples of 6030

Frequently Asked Questions on LCM of 6024 and 6030

1. What is the LCM of 6024 and 6030?

Answer: LCM of 6024 and 6030 is 6054120.

2. 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.

3. What are the Factors of 6030?

Answer: Factors of 6030 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 67, 90, 134, 201, 335, 402, 603, 670, 1005, 1206, 2010, 3015, 6030. There are 24 integers that are factors of 6030. The greatest factor of 6030 is 6030.

4. How to Find the LCM of 6024 and 6030?

Answer:

Least Common Multiple of 6024 and 6030 = 6054120

Step 1: Find the prime factorization of 6024

6024 = 2 x 2 x 2 x 3 x 251

Step 2: Find the prime factorization of 6030

6030 = 2 x 3 x 3 x 5 x 67

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

LCM = 6054120 = 2 x 2 x 2 x 3 x 3 x 5 x 67 x 251

Step 4: Therefore, the least common multiple of 6024 and 6030 is 6054120.