Least Common Multiple of 2021 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 2021 and 2027 the smallest integer that is 4096567 that is divisible by both numbers.

Least Common Multiple (LCM) of 2021 and 2027 is 4096567.

LCM(2021,2027) = 4096567

LCM of 2021 and 2027

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

LCM of:
and

Least Common Multiple of 2021 and 2027

LCM of 2021 and 2027 is 4096567

Least common multiple can be found by multiplying the highest exponent prime factors of 2021 and 2027. First we will calculate the prime factors of 2021 and 2027.

Prime Factorization of 2021


43 2021
47 47
1

Prime factors of 2021 are 43,47. Prime factorization of 2021 in exponential form is:

2021 = 431×471

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 2021 and 2027.

LCM(2021,2027) = 431×471×20271
LCM(2021,2027) = 4096567

Factors of 2021

List of positive integer factors of 2021 that divides 2021 without a remainder.

1, 43, 47, 2021

Factors of 2027

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

1, 2027

Least Common Multiple of 2021 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 2021 and 2027, than apply into the LCM equation.

GCF(2021,2027) = 1
LCM(2021,2027) = ( 2021 × 2027) / 1
LCM(2021,2027) = 4096567 / 1
LCM(2021,2027) = 4096567

Properties of LCM 2021 and 2027

(i) The LCM of 2027 and 2021 is associative

LCM of 2021 and 2027 = LCM of 2027 and 2021

Related Least Common Multiples of 2021

Related Least Common Multiples of 2027

Frequently Asked Questions on LCM of 2021 and 2027

1. What is the LCM of 2021 and 2027?

Answer: LCM of 2021 and 2027 is 4096567.

2. What are the Factors of 2021?

Answer: Factors of 2021 are 1, 43, 47, 2021. There are 4 integers that are factors of 2021. The greatest factor of 2021 is 2021.

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 2021 and 2027?

Answer:

Least Common Multiple of 2021 and 2027 = 4096567

Step 1: Find the prime factorization of 2021

2021 = 43 x 47

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 = 4096567 = 43 x 47 x 2027

Step 4: Therefore, the least common multiple of 2021 and 2027 is 4096567.