Least Common Multiple of 9007 and 9015

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 9015 the smallest integer that is 81198105 that is divisible by both numbers.

Least Common Multiple (LCM) of 9007 and 9015 is 81198105.

LCM(9007,9015) = 81198105

LCM of 9007 and 9015

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

LCM of:
and

Least Common Multiple of 9007 and 9015

LCM of 9007 and 9015 is 81198105

Least common multiple can be found by multiplying the highest exponent prime factors of 9007 and 9015. First we will calculate the prime factors of 9007 and 9015.

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 9015


3 9015
5 3005
601 601
1

Prime factors of 9015 are 3, 5,601. Prime factorization of 9015 in exponential form is:

9015 = 31×51×6011

Now multiplying the highest exponent prime factors to calculate the LCM of 9007 and 9015.

LCM(9007,9015) = 31×51×6011×90071
LCM(9007,9015) = 81198105

Factors of 9007

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

1, 9007

Factors of 9015

List of positive integer factors of 9015 that divides 9015 without a remainder.

1, 3, 5, 15, 601, 1803, 3005, 9015

Least Common Multiple of 9007 and 9015 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 9015, than apply into the LCM equation.

GCF(9007,9015) = 1
LCM(9007,9015) = ( 9007 × 9015) / 1
LCM(9007,9015) = 81198105 / 1
LCM(9007,9015) = 81198105

Properties of LCM 9007 and 9015

(i) The LCM of 9015 and 9007 is associative

LCM of 9007 and 9015 = LCM of 9015 and 9007

Related Least Common Multiples of 9007

Related Least Common Multiples of 9015

Frequently Asked Questions on LCM of 9007 and 9015

1. What is the LCM of 9007 and 9015?

Answer: LCM of 9007 and 9015 is 81198105.

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 9015?

Answer: Factors of 9015 are 1, 3, 5, 15, 601, 1803, 3005, 9015. There are 8 integers that are factors of 9015. The greatest factor of 9015 is 9015.

4. How to Find the LCM of 9007 and 9015?

Answer:

Least Common Multiple of 9007 and 9015 = 81198105

Step 1: Find the prime factorization of 9007

9007 = 9007

Step 2: Find the prime factorization of 9015

9015 = 3 x 5 x 601

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

LCM = 81198105 = 3 x 5 x 601 x 9007

Step 4: Therefore, the least common multiple of 9007 and 9015 is 81198105.