Least Common Multiple of 2020 and 2028

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 2028 the smallest integer that is 1024140 that is divisible by both numbers.

Least Common Multiple (LCM) of 2020 and 2028 is 1024140.

LCM(2020,2028) = 1024140

LCM of 2020 and 2028

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

LCM of:
and

Least Common Multiple of 2020 and 2028

LCM of 2020 and 2028 is 1024140

Least common multiple can be found by multiplying the highest exponent prime factors of 2020 and 2028. First we will calculate the prime factors of 2020 and 2028.

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 2028


2 2028
2 1014
3 507
13 169
13 13
1

Prime factors of 2028 are 2, 3,13. Prime factorization of 2028 in exponential form is:

2028 = 22×31×132

Now multiplying the highest exponent prime factors to calculate the LCM of 2020 and 2028.

LCM(2020,2028) = 22×31×51×132×1011
LCM(2020,2028) = 1024140

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 2028

List of positive integer factors of 2028 that divides 2028 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 169, 338, 507, 676, 1014, 2028

Least Common Multiple of 2020 and 2028 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 2028, than apply into the LCM equation.

GCF(2020,2028) = 4
LCM(2020,2028) = ( 2020 × 2028) / 4
LCM(2020,2028) = 4096560 / 4
LCM(2020,2028) = 1024140

Properties of LCM 2020 and 2028

(i) The LCM of 2028 and 2020 is associative

LCM of 2020 and 2028 = LCM of 2028 and 2020

Related Least Common Multiples of 2020

Related Least Common Multiples of 2028

Frequently Asked Questions on LCM of 2020 and 2028

1. What is the LCM of 2020 and 2028?

Answer: LCM of 2020 and 2028 is 1024140.

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 2028?

Answer: Factors of 2028 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 169, 338, 507, 676, 1014, 2028. There are 18 integers that are factors of 2028. The greatest factor of 2028 is 2028.

4. How to Find the LCM of 2020 and 2028?

Answer:

Least Common Multiple of 2020 and 2028 = 1024140

Step 1: Find the prime factorization of 2020

2020 = 2 x 2 x 5 x 101

Step 2: Find the prime factorization of 2028

2028 = 2 x 2 x 3 x 13 x 13

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

LCM = 1024140 = 2 x 2 x 3 x 5 x 13 x 13 x 101

Step 4: Therefore, the least common multiple of 2020 and 2028 is 1024140.