Least Common Multiple of 3001 and 3007

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3001 and 3007 the smallest integer that is 9024007 that is divisible by both numbers.

Least Common Multiple (LCM) of 3001 and 3007 is 9024007.

LCM(3001,3007) = 9024007

LCM of 3001 and 3007

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

LCM of:
and

Least Common Multiple of 3001 and 3007

LCM of 3001 and 3007 is 9024007

Least common multiple can be found by multiplying the highest exponent prime factors of 3001 and 3007. First we will calculate the prime factors of 3001 and 3007.

Prime Factorization of 3001


3001 3001
1

Prime factors of 3001 are 3001. Prime factorization of 3001 in exponential form is:

3001 = 30011

Prime Factorization of 3007


31 3007
97 97
1

Prime factors of 3007 are 31,97. Prime factorization of 3007 in exponential form is:

3007 = 311×971

Now multiplying the highest exponent prime factors to calculate the LCM of 3001 and 3007.

LCM(3001,3007) = 311×971×30011
LCM(3001,3007) = 9024007

Factors of 3001

List of positive integer factors of 3001 that divides 3001 without a remainder.

1, 3001

Factors of 3007

List of positive integer factors of 3007 that divides 3007 without a remainder.

1, 31, 97, 3007

Least Common Multiple of 3001 and 3007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3001 and 3007, than apply into the LCM equation.

GCF(3001,3007) = 1
LCM(3001,3007) = ( 3001 × 3007) / 1
LCM(3001,3007) = 9024007 / 1
LCM(3001,3007) = 9024007

Properties of LCM 3001 and 3007

(i) The LCM of 3007 and 3001 is associative

LCM of 3001 and 3007 = LCM of 3007 and 3001

Related Least Common Multiples of 3001

Related Least Common Multiples of 3007

Frequently Asked Questions on LCM of 3001 and 3007

1. What is the LCM of 3001 and 3007?

Answer: LCM of 3001 and 3007 is 9024007.

2. What are the Factors of 3001?

Answer: Factors of 3001 are 1, 3001. There are 2 integers that are factors of 3001. The greatest factor of 3001 is 3001.

3. What are the Factors of 3007?

Answer: Factors of 3007 are 1, 31, 97, 3007. There are 4 integers that are factors of 3007. The greatest factor of 3007 is 3007.

4. How to Find the LCM of 3001 and 3007?

Answer:

Least Common Multiple of 3001 and 3007 = 9024007

Step 1: Find the prime factorization of 3001

3001 = 3001

Step 2: Find the prime factorization of 3007

3007 = 31 x 97

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

LCM = 9024007 = 31 x 97 x 3001

Step 4: Therefore, the least common multiple of 3001 and 3007 is 9024007.