Least Common Multiple of 9075 and 9081

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9075 and 9081 the smallest integer that is 27470025 that is divisible by both numbers.

Least Common Multiple (LCM) of 9075 and 9081 is 27470025.

LCM(9075,9081) = 27470025

LCM of 9075 and 9081

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

LCM of:
and

Least Common Multiple of 9075 and 9081

LCM of 9075 and 9081 is 27470025

Least common multiple can be found by multiplying the highest exponent prime factors of 9075 and 9081. First we will calculate the prime factors of 9075 and 9081.

Prime Factorization of 9075


3 9075
5 3025
5 605
11 121
11 11
1

Prime factors of 9075 are 3, 5,11. Prime factorization of 9075 in exponential form is:

9075 = 31×52×112

Prime Factorization of 9081


3 9081
3 3027
1009 1009
1

Prime factors of 9081 are 3,1009. Prime factorization of 9081 in exponential form is:

9081 = 32×10091

Now multiplying the highest exponent prime factors to calculate the LCM of 9075 and 9081.

LCM(9075,9081) = 32×52×112×10091
LCM(9075,9081) = 27470025

Factors of 9075

List of positive integer factors of 9075 that divides 9075 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 121, 165, 275, 363, 605, 825, 1815, 3025, 9075

Factors of 9081

List of positive integer factors of 9081 that divides 9081 without a remainder.

1, 3, 9, 1009, 3027, 9081

Least Common Multiple of 9075 and 9081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9075 and 9081, than apply into the LCM equation.

GCF(9075,9081) = 3
LCM(9075,9081) = ( 9075 × 9081) / 3
LCM(9075,9081) = 82410075 / 3
LCM(9075,9081) = 27470025

Properties of LCM 9075 and 9081

(i) The LCM of 9081 and 9075 is associative

LCM of 9075 and 9081 = LCM of 9081 and 9075

Related Least Common Multiples of 9075

Related Least Common Multiples of 9081

Frequently Asked Questions on LCM of 9075 and 9081

1. What is the LCM of 9075 and 9081?

Answer: LCM of 9075 and 9081 is 27470025.

2. What are the Factors of 9075?

Answer: Factors of 9075 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 121, 165, 275, 363, 605, 825, 1815, 3025, 9075. There are 18 integers that are factors of 9075. The greatest factor of 9075 is 9075.

3. What are the Factors of 9081?

Answer: Factors of 9081 are 1, 3, 9, 1009, 3027, 9081. There are 6 integers that are factors of 9081. The greatest factor of 9081 is 9081.

4. How to Find the LCM of 9075 and 9081?

Answer:

Least Common Multiple of 9075 and 9081 = 27470025

Step 1: Find the prime factorization of 9075

9075 = 3 x 5 x 5 x 11 x 11

Step 2: Find the prime factorization of 9081

9081 = 3 x 3 x 1009

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

LCM = 27470025 = 3 x 3 x 5 x 5 x 11 x 11 x 1009

Step 4: Therefore, the least common multiple of 9075 and 9081 is 27470025.