Least Common Multiple of 2024 and 2030

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2024 and 2030 the smallest integer that is 2054360 that is divisible by both numbers.

Least Common Multiple (LCM) of 2024 and 2030 is 2054360.

LCM(2024,2030) = 2054360

LCM of 2024 and 2030

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

LCM of:
and

Least Common Multiple of 2024 and 2030

LCM of 2024 and 2030 is 2054360

Least common multiple can be found by multiplying the highest exponent prime factors of 2024 and 2030. First we will calculate the prime factors of 2024 and 2030.

Prime Factorization of 2024


2 2024
2 1012
2 506
11 253
23 23
1

Prime factors of 2024 are 2, 11,23. Prime factorization of 2024 in exponential form is:

2024 = 23×111×231

Prime Factorization of 2030


2 2030
5 1015
7 203
29 29
1

Prime factors of 2030 are 2, 5, 7,29. Prime factorization of 2030 in exponential form is:

2030 = 21×51×71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 2024 and 2030.

LCM(2024,2030) = 23×51×71×111×231×291
LCM(2024,2030) = 2054360

Factors of 2024

List of positive integer factors of 2024 that divides 2024 without a remainder.

1, 2, 4, 8, 11, 22, 23, 44, 46, 88, 92, 184, 253, 506, 1012, 2024

Factors of 2030

List of positive integer factors of 2030 that divides 2030 without a remainder.

1, 2, 5, 7, 10, 14, 29, 35, 58, 70, 145, 203, 290, 406, 1015, 2030

Least Common Multiple of 2024 and 2030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2024 and 2030, than apply into the LCM equation.

GCF(2024,2030) = 2
LCM(2024,2030) = ( 2024 × 2030) / 2
LCM(2024,2030) = 4108720 / 2
LCM(2024,2030) = 2054360

Properties of LCM 2024 and 2030

(i) The LCM of 2030 and 2024 is associative

LCM of 2024 and 2030 = LCM of 2030 and 2024

Related Least Common Multiples of 2024

Related Least Common Multiples of 2030

Frequently Asked Questions on LCM of 2024 and 2030

1. What is the LCM of 2024 and 2030?

Answer: LCM of 2024 and 2030 is 2054360.

2. What are the Factors of 2024?

Answer: Factors of 2024 are 1, 2, 4, 8, 11, 22, 23, 44, 46, 88, 92, 184, 253, 506, 1012, 2024. There are 16 integers that are factors of 2024. The greatest factor of 2024 is 2024.

3. What are the Factors of 2030?

Answer: Factors of 2030 are 1, 2, 5, 7, 10, 14, 29, 35, 58, 70, 145, 203, 290, 406, 1015, 2030. There are 16 integers that are factors of 2030. The greatest factor of 2030 is 2030.

4. How to Find the LCM of 2024 and 2030?

Answer:

Least Common Multiple of 2024 and 2030 = 2054360

Step 1: Find the prime factorization of 2024

2024 = 2 x 2 x 2 x 11 x 23

Step 2: Find the prime factorization of 2030

2030 = 2 x 5 x 7 x 29

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

LCM = 2054360 = 2 x 2 x 2 x 5 x 7 x 11 x 23 x 29

Step 4: Therefore, the least common multiple of 2024 and 2030 is 2054360.