Least Common Multiple of 4018 and 4023

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4018 and 4023 the smallest integer that is 16164414 that is divisible by both numbers.

Least Common Multiple (LCM) of 4018 and 4023 is 16164414.

LCM(4018,4023) = 16164414

LCM of 4018 and 4023

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

LCM of:
and

Least Common Multiple of 4018 and 4023

LCM of 4018 and 4023 is 16164414

Least common multiple can be found by multiplying the highest exponent prime factors of 4018 and 4023. First we will calculate the prime factors of 4018 and 4023.

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

Prime Factorization of 4023


3 4023
3 1341
3 447
149 149
1

Prime factors of 4023 are 3,149. Prime factorization of 4023 in exponential form is:

4023 = 33×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 4018 and 4023.

LCM(4018,4023) = 21×33×72×411×1491
LCM(4018,4023) = 16164414

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

Factors of 4023

List of positive integer factors of 4023 that divides 4023 without a remainder.

1, 3, 9, 27, 149, 447, 1341, 4023

Least Common Multiple of 4018 and 4023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4018 and 4023, than apply into the LCM equation.

GCF(4018,4023) = 1
LCM(4018,4023) = ( 4018 × 4023) / 1
LCM(4018,4023) = 16164414 / 1
LCM(4018,4023) = 16164414

Properties of LCM 4018 and 4023

(i) The LCM of 4023 and 4018 is associative

LCM of 4018 and 4023 = LCM of 4023 and 4018

Related Least Common Multiples of 4018

Related Least Common Multiples of 4023

Frequently Asked Questions on LCM of 4018 and 4023

1. What is the LCM of 4018 and 4023?

Answer: LCM of 4018 and 4023 is 16164414.

2. 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.

3. What are the Factors of 4023?

Answer: Factors of 4023 are 1, 3, 9, 27, 149, 447, 1341, 4023. There are 8 integers that are factors of 4023. The greatest factor of 4023 is 4023.

4. How to Find the LCM of 4018 and 4023?

Answer:

Least Common Multiple of 4018 and 4023 = 16164414

Step 1: Find the prime factorization of 4018

4018 = 2 x 7 x 7 x 41

Step 2: Find the prime factorization of 4023

4023 = 3 x 3 x 3 x 149

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

LCM = 16164414 = 2 x 3 x 3 x 3 x 7 x 7 x 41 x 149

Step 4: Therefore, the least common multiple of 4018 and 4023 is 16164414.