Least Common Multiple of 9007 and 9014

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9007 and 9014 the smallest integer that is 81189098 that is divisible by both numbers.

Least Common Multiple (LCM) of 9007 and 9014 is 81189098.

LCM(9007,9014) = 81189098

LCM of 9007 and 9014

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

LCM of:
and

Least Common Multiple of 9007 and 9014

LCM of 9007 and 9014 is 81189098

Least common multiple can be found by multiplying the highest exponent prime factors of 9007 and 9014. First we will calculate the prime factors of 9007 and 9014.

Prime Factorization of 9007


9007 9007
1

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

9007 = 90071

Prime Factorization of 9014


2 9014
4507 4507
1

Prime factors of 9014 are 2,4507. Prime factorization of 9014 in exponential form is:

9014 = 21×45071

Now multiplying the highest exponent prime factors to calculate the LCM of 9007 and 9014.

LCM(9007,9014) = 21×45071×90071
LCM(9007,9014) = 81189098

Factors of 9007

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

1, 9007

Factors of 9014

List of positive integer factors of 9014 that divides 9014 without a remainder.

1, 2, 4507, 9014

Least Common Multiple of 9007 and 9014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9007 and 9014, than apply into the LCM equation.

GCF(9007,9014) = 1
LCM(9007,9014) = ( 9007 × 9014) / 1
LCM(9007,9014) = 81189098 / 1
LCM(9007,9014) = 81189098

Properties of LCM 9007 and 9014

(i) The LCM of 9014 and 9007 is associative

LCM of 9007 and 9014 = LCM of 9014 and 9007

Related Least Common Multiples of 9007

Related Least Common Multiples of 9014

Frequently Asked Questions on LCM of 9007 and 9014

1. What is the LCM of 9007 and 9014?

Answer: LCM of 9007 and 9014 is 81189098.

2. 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.

3. What are the Factors of 9014?

Answer: Factors of 9014 are 1, 2, 4507, 9014. There are 4 integers that are factors of 9014. The greatest factor of 9014 is 9014.

4. How to Find the LCM of 9007 and 9014?

Answer:

Least Common Multiple of 9007 and 9014 = 81189098

Step 1: Find the prime factorization of 9007

9007 = 9007

Step 2: Find the prime factorization of 9014

9014 = 2 x 4507

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

LCM = 81189098 = 2 x 4507 x 9007

Step 4: Therefore, the least common multiple of 9007 and 9014 is 81189098.