Least Common Multiple of 9015 and 9018

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9015 and 9018 the smallest integer that is 27099090 that is divisible by both numbers.

Least Common Multiple (LCM) of 9015 and 9018 is 27099090.

LCM(9015,9018) = 27099090

LCM of 9015 and 9018

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

LCM of:
and

Least Common Multiple of 9015 and 9018

LCM of 9015 and 9018 is 27099090

Least common multiple can be found by multiplying the highest exponent prime factors of 9015 and 9018. First we will calculate the prime factors of 9015 and 9018.

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

Prime Factorization of 9018


2 9018
3 4509
3 1503
3 501
167 167
1

Prime factors of 9018 are 2, 3,167. Prime factorization of 9018 in exponential form is:

9018 = 21×33×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 9015 and 9018.

LCM(9015,9018) = 21×33×51×1671×6011
LCM(9015,9018) = 27099090

Factors of 9015

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

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

Factors of 9018

List of positive integer factors of 9018 that divides 9018 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 167, 334, 501, 1002, 1503, 3006, 4509, 9018

Least Common Multiple of 9015 and 9018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9015 and 9018, than apply into the LCM equation.

GCF(9015,9018) = 3
LCM(9015,9018) = ( 9015 × 9018) / 3
LCM(9015,9018) = 81297270 / 3
LCM(9015,9018) = 27099090

Properties of LCM 9015 and 9018

(i) The LCM of 9018 and 9015 is associative

LCM of 9015 and 9018 = LCM of 9018 and 9015

Related Least Common Multiples of 9015

Related Least Common Multiples of 9018

Frequently Asked Questions on LCM of 9015 and 9018

1. What is the LCM of 9015 and 9018?

Answer: LCM of 9015 and 9018 is 27099090.

2. 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.

3. What are the Factors of 9018?

Answer: Factors of 9018 are 1, 2, 3, 6, 9, 18, 27, 54, 167, 334, 501, 1002, 1503, 3006, 4509, 9018. There are 16 integers that are factors of 9018. The greatest factor of 9018 is 9018.

4. How to Find the LCM of 9015 and 9018?

Answer:

Least Common Multiple of 9015 and 9018 = 27099090

Step 1: Find the prime factorization of 9015

9015 = 3 x 5 x 601

Step 2: Find the prime factorization of 9018

9018 = 2 x 3 x 3 x 3 x 167

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

LCM = 27099090 = 2 x 3 x 3 x 3 x 5 x 167 x 601

Step 4: Therefore, the least common multiple of 9015 and 9018 is 27099090.