Least Common Multiple of 6004 and 6012

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6004 and 6012 the smallest integer that is 9024012 that is divisible by both numbers.

Least Common Multiple (LCM) of 6004 and 6012 is 9024012.

LCM(6004,6012) = 9024012

LCM of 6004 and 6012

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

LCM of:
and

Least Common Multiple of 6004 and 6012

LCM of 6004 and 6012 is 9024012

Least common multiple can be found by multiplying the highest exponent prime factors of 6004 and 6012. First we will calculate the prime factors of 6004 and 6012.

Prime Factorization of 6004


2 6004
2 3002
19 1501
79 79
1

Prime factors of 6004 are 2, 19,79. Prime factorization of 6004 in exponential form is:

6004 = 22×191×791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6004 and 6012.

LCM(6004,6012) = 22×32×191×791×1671
LCM(6004,6012) = 9024012

Factors of 6004

List of positive integer factors of 6004 that divides 6004 without a remainder.

1, 2, 4, 19, 38, 76, 79, 158, 316, 1501, 3002, 6004

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

Least Common Multiple of 6004 and 6012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6004 and 6012, than apply into the LCM equation.

GCF(6004,6012) = 4
LCM(6004,6012) = ( 6004 × 6012) / 4
LCM(6004,6012) = 36096048 / 4
LCM(6004,6012) = 9024012

Properties of LCM 6004 and 6012

(i) The LCM of 6012 and 6004 is associative

LCM of 6004 and 6012 = LCM of 6012 and 6004

Related Least Common Multiples of 6004

Related Least Common Multiples of 6012

Frequently Asked Questions on LCM of 6004 and 6012

1. What is the LCM of 6004 and 6012?

Answer: LCM of 6004 and 6012 is 9024012.

2. What are the Factors of 6004?

Answer: Factors of 6004 are 1, 2, 4, 19, 38, 76, 79, 158, 316, 1501, 3002, 6004. There are 12 integers that are factors of 6004. The greatest factor of 6004 is 6004.

3. 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.

4. How to Find the LCM of 6004 and 6012?

Answer:

Least Common Multiple of 6004 and 6012 = 9024012

Step 1: Find the prime factorization of 6004

6004 = 2 x 2 x 19 x 79

Step 2: Find the prime factorization of 6012

6012 = 2 x 2 x 3 x 3 x 167

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

LCM = 9024012 = 2 x 2 x 3 x 3 x 19 x 79 x 167

Step 4: Therefore, the least common multiple of 6004 and 6012 is 9024012.