Least Common Multiple of 6005 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 6005 and 6008 the smallest integer that is 36078040 that is divisible by both numbers.

Least Common Multiple (LCM) of 6005 and 6008 is 36078040.

LCM(6005,6008) = 36078040

LCM of 6005 and 6008

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

LCM of:
and

Least Common Multiple of 6005 and 6008

LCM of 6005 and 6008 is 36078040

Least common multiple can be found by multiplying the highest exponent prime factors of 6005 and 6008. First we will calculate the prime factors of 6005 and 6008.

Prime Factorization of 6005


5 6005
1201 1201
1

Prime factors of 6005 are 5,1201. Prime factorization of 6005 in exponential form is:

6005 = 51×12011

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 6005 and 6008.

LCM(6005,6008) = 23×51×7511×12011
LCM(6005,6008) = 36078040

Factors of 6005

List of positive integer factors of 6005 that divides 6005 without a remainder.

1, 5, 1201, 6005

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 6005 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 6005 and 6008, than apply into the LCM equation.

GCF(6005,6008) = 1
LCM(6005,6008) = ( 6005 × 6008) / 1
LCM(6005,6008) = 36078040 / 1
LCM(6005,6008) = 36078040

Properties of LCM 6005 and 6008

(i) The LCM of 6008 and 6005 is associative

LCM of 6005 and 6008 = LCM of 6008 and 6005

Related Least Common Multiples of 6005

Related Least Common Multiples of 6008

Frequently Asked Questions on LCM of 6005 and 6008

1. What is the LCM of 6005 and 6008?

Answer: LCM of 6005 and 6008 is 36078040.

2. What are the Factors of 6005?

Answer: Factors of 6005 are 1, 5, 1201, 6005. There are 4 integers that are factors of 6005. The greatest factor of 6005 is 6005.

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 6005 and 6008?

Answer:

Least Common Multiple of 6005 and 6008 = 36078040

Step 1: Find the prime factorization of 6005

6005 = 5 x 1201

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 = 36078040 = 2 x 2 x 2 x 5 x 751 x 1201

Step 4: Therefore, the least common multiple of 6005 and 6008 is 36078040.