Least Common Multiple of 4018 and 4026

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 4026 the smallest integer that is 8088234 that is divisible by both numbers.

Least Common Multiple (LCM) of 4018 and 4026 is 8088234.

LCM(4018,4026) = 8088234

LCM of 4018 and 4026

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

LCM of:
and

Least Common Multiple of 4018 and 4026

LCM of 4018 and 4026 is 8088234

Least common multiple can be found by multiplying the highest exponent prime factors of 4018 and 4026. First we will calculate the prime factors of 4018 and 4026.

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 4026


2 4026
3 2013
11 671
61 61
1

Prime factors of 4026 are 2, 3, 11,61. Prime factorization of 4026 in exponential form is:

4026 = 21×31×111×611

Now multiplying the highest exponent prime factors to calculate the LCM of 4018 and 4026.

LCM(4018,4026) = 21×31×72×111×411×611
LCM(4018,4026) = 8088234

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 4026

List of positive integer factors of 4026 that divides 4026 without a remainder.

1, 2, 3, 6, 11, 22, 33, 61, 66, 122, 183, 366, 671, 1342, 2013, 4026

Least Common Multiple of 4018 and 4026 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 4026, than apply into the LCM equation.

GCF(4018,4026) = 2
LCM(4018,4026) = ( 4018 × 4026) / 2
LCM(4018,4026) = 16176468 / 2
LCM(4018,4026) = 8088234

Properties of LCM 4018 and 4026

(i) The LCM of 4026 and 4018 is associative

LCM of 4018 and 4026 = LCM of 4026 and 4018

Related Least Common Multiples of 4018

Related Least Common Multiples of 4026

Frequently Asked Questions on LCM of 4018 and 4026

1. What is the LCM of 4018 and 4026?

Answer: LCM of 4018 and 4026 is 8088234.

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 4026?

Answer: Factors of 4026 are 1, 2, 3, 6, 11, 22, 33, 61, 66, 122, 183, 366, 671, 1342, 2013, 4026. There are 16 integers that are factors of 4026. The greatest factor of 4026 is 4026.

4. How to Find the LCM of 4018 and 4026?

Answer:

Least Common Multiple of 4018 and 4026 = 8088234

Step 1: Find the prime factorization of 4018

4018 = 2 x 7 x 7 x 41

Step 2: Find the prime factorization of 4026

4026 = 2 x 3 x 11 x 61

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

LCM = 8088234 = 2 x 3 x 7 x 7 x 11 x 41 x 61

Step 4: Therefore, the least common multiple of 4018 and 4026 is 8088234.