Least Common Multiple of 6012 and 6018

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6012 and 6018 the smallest integer that is 6030036 that is divisible by both numbers.

Least Common Multiple (LCM) of 6012 and 6018 is 6030036.

LCM(6012,6018) = 6030036

LCM of 6012 and 6018

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

LCM of:
and

Least Common Multiple of 6012 and 6018

LCM of 6012 and 6018 is 6030036

Least common multiple can be found by multiplying the highest exponent prime factors of 6012 and 6018. First we will calculate the prime factors of 6012 and 6018.

Prime Factorization of 6012


2 6012
2 3006
3 1503
3 501
167 167
1

Prime factors of 6012 are 2, 3,167. Prime factorization of 6012 in exponential form is:

6012 = 22×32×1671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6012 and 6018.

LCM(6012,6018) = 22×32×171×591×1671
LCM(6012,6018) = 6030036

Factors of 6012

List of positive integer factors of 6012 that divides 6012 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 167, 334, 501, 668, 1002, 1503, 2004, 3006, 6012

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

Least Common Multiple of 6012 and 6018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6012 and 6018, than apply into the LCM equation.

GCF(6012,6018) = 6
LCM(6012,6018) = ( 6012 × 6018) / 6
LCM(6012,6018) = 36180216 / 6
LCM(6012,6018) = 6030036

Properties of LCM 6012 and 6018

(i) The LCM of 6018 and 6012 is associative

LCM of 6012 and 6018 = LCM of 6018 and 6012

Related Least Common Multiples of 6012

Related Least Common Multiples of 6018

Frequently Asked Questions on LCM of 6012 and 6018

1. What is the LCM of 6012 and 6018?

Answer: LCM of 6012 and 6018 is 6030036.

2. What are the Factors of 6012?

Answer: Factors of 6012 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 167, 334, 501, 668, 1002, 1503, 2004, 3006, 6012. There are 18 integers that are factors of 6012. The greatest factor of 6012 is 6012.

3. 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.

4. How to Find the LCM of 6012 and 6018?

Answer:

Least Common Multiple of 6012 and 6018 = 6030036

Step 1: Find the prime factorization of 6012

6012 = 2 x 2 x 3 x 3 x 167

Step 2: Find the prime factorization of 6018

6018 = 2 x 3 x 17 x 59

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

LCM = 6030036 = 2 x 2 x 3 x 3 x 17 x 59 x 167

Step 4: Therefore, the least common multiple of 6012 and 6018 is 6030036.