Least Common Multiple of 9002 and 9007

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9002 and 9007 the smallest integer that is 81081014 that is divisible by both numbers.

Least Common Multiple (LCM) of 9002 and 9007 is 81081014.

LCM(9002,9007) = 81081014

LCM of 9002 and 9007

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

LCM of:
and

Least Common Multiple of 9002 and 9007

LCM of 9002 and 9007 is 81081014

Least common multiple can be found by multiplying the highest exponent prime factors of 9002 and 9007. First we will calculate the prime factors of 9002 and 9007.

Prime Factorization of 9002


2 9002
7 4501
643 643
1

Prime factors of 9002 are 2, 7,643. Prime factorization of 9002 in exponential form is:

9002 = 21×71×6431

Prime Factorization of 9007


9007 9007
1

Prime factors of 9007 are 9007. Prime factorization of 9007 in exponential form is:

9007 = 90071

Now multiplying the highest exponent prime factors to calculate the LCM of 9002 and 9007.

LCM(9002,9007) = 21×71×6431×90071
LCM(9002,9007) = 81081014

Factors of 9002

List of positive integer factors of 9002 that divides 9002 without a remainder.

1, 2, 7, 14, 643, 1286, 4501, 9002

Factors of 9007

List of positive integer factors of 9007 that divides 9007 without a remainder.

1, 9007

Least Common Multiple of 9002 and 9007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9002 and 9007, than apply into the LCM equation.

GCF(9002,9007) = 1
LCM(9002,9007) = ( 9002 × 9007) / 1
LCM(9002,9007) = 81081014 / 1
LCM(9002,9007) = 81081014

Properties of LCM 9002 and 9007

(i) The LCM of 9007 and 9002 is associative

LCM of 9002 and 9007 = LCM of 9007 and 9002

Related Least Common Multiples of 9002

Related Least Common Multiples of 9007

Frequently Asked Questions on LCM of 9002 and 9007

1. What is the LCM of 9002 and 9007?

Answer: LCM of 9002 and 9007 is 81081014.

2. What are the Factors of 9002?

Answer: Factors of 9002 are 1, 2, 7, 14, 643, 1286, 4501, 9002. There are 8 integers that are factors of 9002. The greatest factor of 9002 is 9002.

3. What are the Factors of 9007?

Answer: Factors of 9007 are 1, 9007. There are 2 integers that are factors of 9007. The greatest factor of 9007 is 9007.

4. How to Find the LCM of 9002 and 9007?

Answer:

Least Common Multiple of 9002 and 9007 = 81081014

Step 1: Find the prime factorization of 9002

9002 = 2 x 7 x 643

Step 2: Find the prime factorization of 9007

9007 = 9007

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

LCM = 81081014 = 2 x 7 x 643 x 9007

Step 4: Therefore, the least common multiple of 9002 and 9007 is 81081014.