Least Common Multiple of 2011 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 2011 and 2018 the smallest integer that is 4058198 that is divisible by both numbers.

Least Common Multiple (LCM) of 2011 and 2018 is 4058198.

LCM(2011,2018) = 4058198

LCM of 2011 and 2018

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

LCM of:
and

Least Common Multiple of 2011 and 2018

LCM of 2011 and 2018 is 4058198

Least common multiple can be found by multiplying the highest exponent prime factors of 2011 and 2018. First we will calculate the prime factors of 2011 and 2018.

Prime Factorization of 2011


2011 2011
1

Prime factors of 2011 are 2011. Prime factorization of 2011 in exponential form is:

2011 = 20111

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 2011 and 2018.

LCM(2011,2018) = 21×10091×20111
LCM(2011,2018) = 4058198

Factors of 2011

List of positive integer factors of 2011 that divides 2011 without a remainder.

1, 2011

Factors of 2018

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

1, 2, 1009, 2018

Least Common Multiple of 2011 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 2011 and 2018, than apply into the LCM equation.

GCF(2011,2018) = 1
LCM(2011,2018) = ( 2011 × 2018) / 1
LCM(2011,2018) = 4058198 / 1
LCM(2011,2018) = 4058198

Properties of LCM 2011 and 2018

(i) The LCM of 2018 and 2011 is associative

LCM of 2011 and 2018 = LCM of 2018 and 2011

Related Least Common Multiples of 2011

Related Least Common Multiples of 2018

Frequently Asked Questions on LCM of 2011 and 2018

1. What is the LCM of 2011 and 2018?

Answer: LCM of 2011 and 2018 is 4058198.

2. What are the Factors of 2011?

Answer: Factors of 2011 are 1, 2011. There are 2 integers that are factors of 2011. The greatest factor of 2011 is 2011.

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 2011 and 2018?

Answer:

Least Common Multiple of 2011 and 2018 = 4058198

Step 1: Find the prime factorization of 2011

2011 = 2011

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 = 4058198 = 2 x 1009 x 2011

Step 4: Therefore, the least common multiple of 2011 and 2018 is 4058198.