Least Common Multiple of 2020 and 2027

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 2027 the smallest integer that is 4094540 that is divisible by both numbers.

Least Common Multiple (LCM) of 2020 and 2027 is 4094540.

LCM(2020,2027) = 4094540

LCM of 2020 and 2027

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

LCM of:
and

Least Common Multiple of 2020 and 2027

LCM of 2020 and 2027 is 4094540

Least common multiple can be found by multiplying the highest exponent prime factors of 2020 and 2027. First we will calculate the prime factors of 2020 and 2027.

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 2027


2027 2027
1

Prime factors of 2027 are 2027. Prime factorization of 2027 in exponential form is:

2027 = 20271

Now multiplying the highest exponent prime factors to calculate the LCM of 2020 and 2027.

LCM(2020,2027) = 22×51×1011×20271
LCM(2020,2027) = 4094540

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 2027

List of positive integer factors of 2027 that divides 2027 without a remainder.

1, 2027

Least Common Multiple of 2020 and 2027 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 2027, than apply into the LCM equation.

GCF(2020,2027) = 1
LCM(2020,2027) = ( 2020 × 2027) / 1
LCM(2020,2027) = 4094540 / 1
LCM(2020,2027) = 4094540

Properties of LCM 2020 and 2027

(i) The LCM of 2027 and 2020 is associative

LCM of 2020 and 2027 = LCM of 2027 and 2020

Related Least Common Multiples of 2020

Related Least Common Multiples of 2027

Frequently Asked Questions on LCM of 2020 and 2027

1. What is the LCM of 2020 and 2027?

Answer: LCM of 2020 and 2027 is 4094540.

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 2027?

Answer: Factors of 2027 are 1, 2027. There are 2 integers that are factors of 2027. The greatest factor of 2027 is 2027.

4. How to Find the LCM of 2020 and 2027?

Answer:

Least Common Multiple of 2020 and 2027 = 4094540

Step 1: Find the prime factorization of 2020

2020 = 2 x 2 x 5 x 101

Step 2: Find the prime factorization of 2027

2027 = 2027

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

LCM = 4094540 = 2 x 2 x 5 x 101 x 2027

Step 4: Therefore, the least common multiple of 2020 and 2027 is 4094540.