Least Common Multiple of 6001 and 6007

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6001 and 6007 the smallest integer that is 36048007 that is divisible by both numbers.

Least Common Multiple (LCM) of 6001 and 6007 is 36048007.

LCM(6001,6007) = 36048007

LCM of 6001 and 6007

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

LCM of:
and

Least Common Multiple of 6001 and 6007

LCM of 6001 and 6007 is 36048007

Least common multiple can be found by multiplying the highest exponent prime factors of 6001 and 6007. First we will calculate the prime factors of 6001 and 6007.

Prime Factorization of 6001


17 6001
353 353
1

Prime factors of 6001 are 17,353. Prime factorization of 6001 in exponential form is:

6001 = 171×3531

Prime Factorization of 6007


6007 6007
1

Prime factors of 6007 are 6007. Prime factorization of 6007 in exponential form is:

6007 = 60071

Now multiplying the highest exponent prime factors to calculate the LCM of 6001 and 6007.

LCM(6001,6007) = 171×3531×60071
LCM(6001,6007) = 36048007

Factors of 6001

List of positive integer factors of 6001 that divides 6001 without a remainder.

1, 17, 353, 6001

Factors of 6007

List of positive integer factors of 6007 that divides 6007 without a remainder.

1, 6007

Least Common Multiple of 6001 and 6007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6001 and 6007, than apply into the LCM equation.

GCF(6001,6007) = 1
LCM(6001,6007) = ( 6001 × 6007) / 1
LCM(6001,6007) = 36048007 / 1
LCM(6001,6007) = 36048007

Properties of LCM 6001 and 6007

(i) The LCM of 6007 and 6001 is associative

LCM of 6001 and 6007 = LCM of 6007 and 6001

Related Least Common Multiples of 6001

Related Least Common Multiples of 6007

Frequently Asked Questions on LCM of 6001 and 6007

1. What is the LCM of 6001 and 6007?

Answer: LCM of 6001 and 6007 is 36048007.

2. What are the Factors of 6001?

Answer: Factors of 6001 are 1, 17, 353, 6001. There are 4 integers that are factors of 6001. The greatest factor of 6001 is 6001.

3. What are the Factors of 6007?

Answer: Factors of 6007 are 1, 6007. There are 2 integers that are factors of 6007. The greatest factor of 6007 is 6007.

4. How to Find the LCM of 6001 and 6007?

Answer:

Least Common Multiple of 6001 and 6007 = 36048007

Step 1: Find the prime factorization of 6001

6001 = 17 x 353

Step 2: Find the prime factorization of 6007

6007 = 6007

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

LCM = 36048007 = 17 x 353 x 6007

Step 4: Therefore, the least common multiple of 6001 and 6007 is 36048007.