Least Common Multiple of 6003 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 6003 and 6008 the smallest integer that is 36066024 that is divisible by both numbers.

Least Common Multiple (LCM) of 6003 and 6008 is 36066024.

LCM(6003,6008) = 36066024

LCM of 6003 and 6008

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

LCM of:
and

Least Common Multiple of 6003 and 6008

LCM of 6003 and 6008 is 36066024

Least common multiple can be found by multiplying the highest exponent prime factors of 6003 and 6008. First we will calculate the prime factors of 6003 and 6008.

Prime Factorization of 6003


3 6003
3 2001
23 667
29 29
1

Prime factors of 6003 are 3, 23,29. Prime factorization of 6003 in exponential form is:

6003 = 32×231×291

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 6003 and 6008.

LCM(6003,6008) = 23×32×231×291×7511
LCM(6003,6008) = 36066024

Factors of 6003

List of positive integer factors of 6003 that divides 6003 without a remainder.

1, 3, 9, 23, 29, 69, 87, 207, 261, 667, 2001, 6003

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 6003 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 6003 and 6008, than apply into the LCM equation.

GCF(6003,6008) = 1
LCM(6003,6008) = ( 6003 × 6008) / 1
LCM(6003,6008) = 36066024 / 1
LCM(6003,6008) = 36066024

Properties of LCM 6003 and 6008

(i) The LCM of 6008 and 6003 is associative

LCM of 6003 and 6008 = LCM of 6008 and 6003

Related Least Common Multiples of 6003

Related Least Common Multiples of 6008

Frequently Asked Questions on LCM of 6003 and 6008

1. What is the LCM of 6003 and 6008?

Answer: LCM of 6003 and 6008 is 36066024.

2. What are the Factors of 6003?

Answer: Factors of 6003 are 1, 3, 9, 23, 29, 69, 87, 207, 261, 667, 2001, 6003. There are 12 integers that are factors of 6003. The greatest factor of 6003 is 6003.

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 6003 and 6008?

Answer:

Least Common Multiple of 6003 and 6008 = 36066024

Step 1: Find the prime factorization of 6003

6003 = 3 x 3 x 23 x 29

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 = 36066024 = 2 x 2 x 2 x 3 x 3 x 23 x 29 x 751

Step 4: Therefore, the least common multiple of 6003 and 6008 is 36066024.