Least Common Multiple of 2018 and 2019

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2018 and 2019 the smallest integer that is 4074342 that is divisible by both numbers.

Least Common Multiple (LCM) of 2018 and 2019 is 4074342.

LCM(2018,2019) = 4074342

LCM of 2018 and 2019

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

LCM of:
and

Least Common Multiple of 2018 and 2019

LCM of 2018 and 2019 is 4074342

Least common multiple can be found by multiplying the highest exponent prime factors of 2018 and 2019. First we will calculate the prime factors of 2018 and 2019.

Prime Factorization of 2018


2 2018
1009 1009
1

Prime factors of 2018 are 2,1009. Prime factorization of 2018 in exponential form is:

2018 = 21×10091

Prime Factorization of 2019


3 2019
673 673
1

Prime factors of 2019 are 3,673. Prime factorization of 2019 in exponential form is:

2019 = 31×6731

Now multiplying the highest exponent prime factors to calculate the LCM of 2018 and 2019.

LCM(2018,2019) = 21×31×6731×10091
LCM(2018,2019) = 4074342

Factors of 2018

List of positive integer factors of 2018 that divides 2018 without a remainder.

1, 2, 1009, 2018

Factors of 2019

List of positive integer factors of 2019 that divides 2019 without a remainder.

1, 3, 673, 2019

Least Common Multiple of 2018 and 2019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2018 and 2019, than apply into the LCM equation.

GCF(2018,2019) = 1
LCM(2018,2019) = ( 2018 × 2019) / 1
LCM(2018,2019) = 4074342 / 1
LCM(2018,2019) = 4074342

Properties of LCM 2018 and 2019

(i) The LCM of 2019 and 2018 is associative

LCM of 2018 and 2019 = LCM of 2019 and 2018

Related Least Common Multiples of 2018

Related Least Common Multiples of 2019

Frequently Asked Questions on LCM of 2018 and 2019

1. What is the LCM of 2018 and 2019?

Answer: LCM of 2018 and 2019 is 4074342.

2. What are the Factors of 2018?

Answer: Factors of 2018 are 1, 2, 1009, 2018. There are 4 integers that are factors of 2018. The greatest factor of 2018 is 2018.

3. What are the Factors of 2019?

Answer: Factors of 2019 are 1, 3, 673, 2019. There are 4 integers that are factors of 2019. The greatest factor of 2019 is 2019.

4. How to Find the LCM of 2018 and 2019?

Answer:

Least Common Multiple of 2018 and 2019 = 4074342

Step 1: Find the prime factorization of 2018

2018 = 2 x 1009

Step 2: Find the prime factorization of 2019

2019 = 3 x 673

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

LCM = 4074342 = 2 x 3 x 673 x 1009

Step 4: Therefore, the least common multiple of 2018 and 2019 is 4074342.