Least Common Multiple of 2013 and 2018

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2013 and 2018 the smallest integer that is 4062234 that is divisible by both numbers.

Least Common Multiple (LCM) of 2013 and 2018 is 4062234.

LCM(2013,2018) = 4062234

LCM of 2013 and 2018

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

LCM of:
and

Least Common Multiple of 2013 and 2018

LCM of 2013 and 2018 is 4062234

Least common multiple can be found by multiplying the highest exponent prime factors of 2013 and 2018. First we will calculate the prime factors of 2013 and 2018.

Prime Factorization of 2013


3 2013
11 671
61 61
1

Prime factors of 2013 are 3, 11,61. Prime factorization of 2013 in exponential form is:

2013 = 31×111×611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2013 and 2018.

LCM(2013,2018) = 21×31×111×611×10091
LCM(2013,2018) = 4062234

Factors of 2013

List of positive integer factors of 2013 that divides 2013 without a remainder.

1, 3, 11, 33, 61, 183, 671, 2013

Factors of 2018

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

1, 2, 1009, 2018

Least Common Multiple of 2013 and 2018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2013 and 2018, than apply into the LCM equation.

GCF(2013,2018) = 1
LCM(2013,2018) = ( 2013 × 2018) / 1
LCM(2013,2018) = 4062234 / 1
LCM(2013,2018) = 4062234

Properties of LCM 2013 and 2018

(i) The LCM of 2018 and 2013 is associative

LCM of 2013 and 2018 = LCM of 2018 and 2013

Related Least Common Multiples of 2013

Related Least Common Multiples of 2018

Frequently Asked Questions on LCM of 2013 and 2018

1. What is the LCM of 2013 and 2018?

Answer: LCM of 2013 and 2018 is 4062234.

2. What are the Factors of 2013?

Answer: Factors of 2013 are 1, 3, 11, 33, 61, 183, 671, 2013. There are 8 integers that are factors of 2013. The greatest factor of 2013 is 2013.

3. 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.

4. How to Find the LCM of 2013 and 2018?

Answer:

Least Common Multiple of 2013 and 2018 = 4062234

Step 1: Find the prime factorization of 2013

2013 = 3 x 11 x 61

Step 2: Find the prime factorization of 2018

2018 = 2 x 1009

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

LCM = 4062234 = 2 x 3 x 11 x 61 x 1009

Step 4: Therefore, the least common multiple of 2013 and 2018 is 4062234.