Least Common Multiple of 2020 and 2024

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2020 and 2024 the smallest integer that is 1022120 that is divisible by both numbers.

Least Common Multiple (LCM) of 2020 and 2024 is 1022120.

LCM(2020,2024) = 1022120

LCM of 2020 and 2024

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

LCM of:
and

Least Common Multiple of 2020 and 2024

LCM of 2020 and 2024 is 1022120

Least common multiple can be found by multiplying the highest exponent prime factors of 2020 and 2024. First we will calculate the prime factors of 2020 and 2024.

Prime Factorization of 2020


2 2020
2 1010
5 505
101 101
1

Prime factors of 2020 are 2, 5,101. Prime factorization of 2020 in exponential form is:

2020 = 22×51×1011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2020 and 2024.

LCM(2020,2024) = 23×51×111×231×1011
LCM(2020,2024) = 1022120

Factors of 2020

List of positive integer factors of 2020 that divides 2020 without a remainder.

1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010, 2020

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

Least Common Multiple of 2020 and 2024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2020 and 2024, than apply into the LCM equation.

GCF(2020,2024) = 4
LCM(2020,2024) = ( 2020 × 2024) / 4
LCM(2020,2024) = 4088480 / 4
LCM(2020,2024) = 1022120

Properties of LCM 2020 and 2024

(i) The LCM of 2024 and 2020 is associative

LCM of 2020 and 2024 = LCM of 2024 and 2020

Related Least Common Multiples of 2020

Related Least Common Multiples of 2024

Frequently Asked Questions on LCM of 2020 and 2024

1. What is the LCM of 2020 and 2024?

Answer: LCM of 2020 and 2024 is 1022120.

2. What are the Factors of 2020?

Answer: Factors of 2020 are 1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010, 2020. There are 12 integers that are factors of 2020. The greatest factor of 2020 is 2020.

3. 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.

4. How to Find the LCM of 2020 and 2024?

Answer:

Least Common Multiple of 2020 and 2024 = 1022120

Step 1: Find the prime factorization of 2020

2020 = 2 x 2 x 5 x 101

Step 2: Find the prime factorization of 2024

2024 = 2 x 2 x 2 x 11 x 23

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

LCM = 1022120 = 2 x 2 x 2 x 5 x 11 x 23 x 101

Step 4: Therefore, the least common multiple of 2020 and 2024 is 1022120.