Least Common Multiple of 4014 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 4014 and 4018 the smallest integer that is 8064126 that is divisible by both numbers.

Least Common Multiple (LCM) of 4014 and 4018 is 8064126.

LCM(4014,4018) = 8064126

LCM of 4014 and 4018

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

LCM of:
and

Least Common Multiple of 4014 and 4018

LCM of 4014 and 4018 is 8064126

Least common multiple can be found by multiplying the highest exponent prime factors of 4014 and 4018. First we will calculate the prime factors of 4014 and 4018.

Prime Factorization of 4014


2 4014
3 2007
3 669
223 223
1

Prime factors of 4014 are 2, 3,223. Prime factorization of 4014 in exponential form is:

4014 = 21×32×2231

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 4014 and 4018.

LCM(4014,4018) = 21×32×72×411×2231
LCM(4014,4018) = 8064126

Factors of 4014

List of positive integer factors of 4014 that divides 4014 without a remainder.

1, 2, 3, 6, 9, 18, 223, 446, 669, 1338, 2007, 4014

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 4014 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 4014 and 4018, than apply into the LCM equation.

GCF(4014,4018) = 2
LCM(4014,4018) = ( 4014 × 4018) / 2
LCM(4014,4018) = 16128252 / 2
LCM(4014,4018) = 8064126

Properties of LCM 4014 and 4018

(i) The LCM of 4018 and 4014 is associative

LCM of 4014 and 4018 = LCM of 4018 and 4014

Related Least Common Multiples of 4014

Related Least Common Multiples of 4018

Frequently Asked Questions on LCM of 4014 and 4018

1. What is the LCM of 4014 and 4018?

Answer: LCM of 4014 and 4018 is 8064126.

2. What are the Factors of 4014?

Answer: Factors of 4014 are 1, 2, 3, 6, 9, 18, 223, 446, 669, 1338, 2007, 4014. There are 12 integers that are factors of 4014. The greatest factor of 4014 is 4014.

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 4014 and 4018?

Answer:

Least Common Multiple of 4014 and 4018 = 8064126

Step 1: Find the prime factorization of 4014

4014 = 2 x 3 x 3 x 223

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 = 8064126 = 2 x 3 x 3 x 7 x 7 x 41 x 223

Step 4: Therefore, the least common multiple of 4014 and 4018 is 8064126.