Least Common Multiple of 6004 and 6008

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 6008 the smallest integer that is 9018008 that is divisible by both numbers.

Least Common Multiple (LCM) of 6004 and 6008 is 9018008.

LCM(6004,6008) = 9018008

LCM of 6004 and 6008

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

LCM of:
and

Least Common Multiple of 6004 and 6008

LCM of 6004 and 6008 is 9018008

Least common multiple can be found by multiplying the highest exponent prime factors of 6004 and 6008. First we will calculate the prime factors of 6004 and 6008.

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 6008


2 6008
2 3004
2 1502
751 751
1

Prime factors of 6008 are 2,751. Prime factorization of 6008 in exponential form is:

6008 = 23×7511

Now multiplying the highest exponent prime factors to calculate the LCM of 6004 and 6008.

LCM(6004,6008) = 23×191×791×7511
LCM(6004,6008) = 9018008

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 6008

List of positive integer factors of 6008 that divides 6008 without a remainder.

1, 2, 4, 8, 751, 1502, 3004, 6008

Least Common Multiple of 6004 and 6008 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 6008, than apply into the LCM equation.

GCF(6004,6008) = 4
LCM(6004,6008) = ( 6004 × 6008) / 4
LCM(6004,6008) = 36072032 / 4
LCM(6004,6008) = 9018008

Properties of LCM 6004 and 6008

(i) The LCM of 6008 and 6004 is associative

LCM of 6004 and 6008 = LCM of 6008 and 6004

Related Least Common Multiples of 6004

Related Least Common Multiples of 6008

Frequently Asked Questions on LCM of 6004 and 6008

1. What is the LCM of 6004 and 6008?

Answer: LCM of 6004 and 6008 is 9018008.

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 6008?

Answer: Factors of 6008 are 1, 2, 4, 8, 751, 1502, 3004, 6008. There are 8 integers that are factors of 6008. The greatest factor of 6008 is 6008.

4. How to Find the LCM of 6004 and 6008?

Answer:

Least Common Multiple of 6004 and 6008 = 9018008

Step 1: Find the prime factorization of 6004

6004 = 2 x 2 x 19 x 79

Step 2: Find the prime factorization of 6008

6008 = 2 x 2 x 2 x 751

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

LCM = 9018008 = 2 x 2 x 2 x 19 x 79 x 751

Step 4: Therefore, the least common multiple of 6004 and 6008 is 9018008.