Least Common Multiple of 6018 and 6026

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6018 and 6026 the smallest integer that is 18132234 that is divisible by both numbers.

Least Common Multiple (LCM) of 6018 and 6026 is 18132234.

LCM(6018,6026) = 18132234

LCM of 6018 and 6026

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

LCM of:
and

Least Common Multiple of 6018 and 6026

LCM of 6018 and 6026 is 18132234

Least common multiple can be found by multiplying the highest exponent prime factors of 6018 and 6026. First we will calculate the prime factors of 6018 and 6026.

Prime Factorization of 6018


2 6018
3 3009
17 1003
59 59
1

Prime factors of 6018 are 2, 3, 17,59. Prime factorization of 6018 in exponential form is:

6018 = 21×31×171×591

Prime Factorization of 6026


2 6026
23 3013
131 131
1

Prime factors of 6026 are 2, 23,131. Prime factorization of 6026 in exponential form is:

6026 = 21×231×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 6018 and 6026.

LCM(6018,6026) = 21×31×171×231×591×1311
LCM(6018,6026) = 18132234

Factors of 6018

List of positive integer factors of 6018 that divides 6018 without a remainder.

1, 2, 3, 6, 17, 34, 51, 59, 102, 118, 177, 354, 1003, 2006, 3009, 6018

Factors of 6026

List of positive integer factors of 6026 that divides 6026 without a remainder.

1, 2, 23, 46, 131, 262, 3013, 6026

Least Common Multiple of 6018 and 6026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6018 and 6026, than apply into the LCM equation.

GCF(6018,6026) = 2
LCM(6018,6026) = ( 6018 × 6026) / 2
LCM(6018,6026) = 36264468 / 2
LCM(6018,6026) = 18132234

Properties of LCM 6018 and 6026

(i) The LCM of 6026 and 6018 is associative

LCM of 6018 and 6026 = LCM of 6026 and 6018

Related Least Common Multiples of 6018

Related Least Common Multiples of 6026

Frequently Asked Questions on LCM of 6018 and 6026

1. What is the LCM of 6018 and 6026?

Answer: LCM of 6018 and 6026 is 18132234.

2. What are the Factors of 6018?

Answer: Factors of 6018 are 1, 2, 3, 6, 17, 34, 51, 59, 102, 118, 177, 354, 1003, 2006, 3009, 6018. There are 16 integers that are factors of 6018. The greatest factor of 6018 is 6018.

3. What are the Factors of 6026?

Answer: Factors of 6026 are 1, 2, 23, 46, 131, 262, 3013, 6026. There are 8 integers that are factors of 6026. The greatest factor of 6026 is 6026.

4. How to Find the LCM of 6018 and 6026?

Answer:

Least Common Multiple of 6018 and 6026 = 18132234

Step 1: Find the prime factorization of 6018

6018 = 2 x 3 x 17 x 59

Step 2: Find the prime factorization of 6026

6026 = 2 x 23 x 131

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

LCM = 18132234 = 2 x 3 x 17 x 23 x 59 x 131

Step 4: Therefore, the least common multiple of 6018 and 6026 is 18132234.