Least Common Multiple of 4013 and 4018

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4013 and 4018 the smallest integer that is 16124234 that is divisible by both numbers.

Least Common Multiple (LCM) of 4013 and 4018 is 16124234.

LCM(4013,4018) = 16124234

LCM of 4013 and 4018

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

LCM of:
and

Least Common Multiple of 4013 and 4018

LCM of 4013 and 4018 is 16124234

Least common multiple can be found by multiplying the highest exponent prime factors of 4013 and 4018. First we will calculate the prime factors of 4013 and 4018.

Prime Factorization of 4013


4013 4013
1

Prime factors of 4013 are 4013. Prime factorization of 4013 in exponential form is:

4013 = 40131

Prime Factorization of 4018


2 4018
7 2009
7 287
41 41
1

Prime factors of 4018 are 2, 7,41. Prime factorization of 4018 in exponential form is:

4018 = 21×72×411

Now multiplying the highest exponent prime factors to calculate the LCM of 4013 and 4018.

LCM(4013,4018) = 21×72×411×40131
LCM(4013,4018) = 16124234

Factors of 4013

List of positive integer factors of 4013 that divides 4013 without a remainder.

1, 4013

Factors of 4018

List of positive integer factors of 4018 that divides 4018 without a remainder.

1, 2, 7, 14, 41, 49, 82, 98, 287, 574, 2009, 4018

Least Common Multiple of 4013 and 4018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4013 and 4018, than apply into the LCM equation.

GCF(4013,4018) = 1
LCM(4013,4018) = ( 4013 × 4018) / 1
LCM(4013,4018) = 16124234 / 1
LCM(4013,4018) = 16124234

Properties of LCM 4013 and 4018

(i) The LCM of 4018 and 4013 is associative

LCM of 4013 and 4018 = LCM of 4018 and 4013

Related Least Common Multiples of 4013

Related Least Common Multiples of 4018

Frequently Asked Questions on LCM of 4013 and 4018

1. What is the LCM of 4013 and 4018?

Answer: LCM of 4013 and 4018 is 16124234.

2. What are the Factors of 4013?

Answer: Factors of 4013 are 1, 4013. There are 2 integers that are factors of 4013. The greatest factor of 4013 is 4013.

3. What are the Factors of 4018?

Answer: Factors of 4018 are 1, 2, 7, 14, 41, 49, 82, 98, 287, 574, 2009, 4018. There are 12 integers that are factors of 4018. The greatest factor of 4018 is 4018.

4. How to Find the LCM of 4013 and 4018?

Answer:

Least Common Multiple of 4013 and 4018 = 16124234

Step 1: Find the prime factorization of 4013

4013 = 4013

Step 2: Find the prime factorization of 4018

4018 = 2 x 7 x 7 x 41

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

LCM = 16124234 = 2 x 7 x 7 x 41 x 4013

Step 4: Therefore, the least common multiple of 4013 and 4018 is 16124234.