Least Common Multiple of 9080 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 9080 and 9081 the smallest integer that is 82455480 that is divisible by both numbers.

Least Common Multiple (LCM) of 9080 and 9081 is 82455480.

LCM(9080,9081) = 82455480

LCM of 9080 and 9081

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

LCM of:
and

Least Common Multiple of 9080 and 9081

LCM of 9080 and 9081 is 82455480

Least common multiple can be found by multiplying the highest exponent prime factors of 9080 and 9081. First we will calculate the prime factors of 9080 and 9081.

Prime Factorization of 9080


2 9080
2 4540
2 2270
5 1135
227 227
1

Prime factors of 9080 are 2, 5,227. Prime factorization of 9080 in exponential form is:

9080 = 23×51×2271

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 9080 and 9081.

LCM(9080,9081) = 23×32×51×2271×10091
LCM(9080,9081) = 82455480

Factors of 9080

List of positive integer factors of 9080 that divides 9080 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 227, 454, 908, 1135, 1816, 2270, 4540, 9080

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 9080 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 9080 and 9081, than apply into the LCM equation.

GCF(9080,9081) = 1
LCM(9080,9081) = ( 9080 × 9081) / 1
LCM(9080,9081) = 82455480 / 1
LCM(9080,9081) = 82455480

Properties of LCM 9080 and 9081

(i) The LCM of 9081 and 9080 is associative

LCM of 9080 and 9081 = LCM of 9081 and 9080

Related Least Common Multiples of 9080

Related Least Common Multiples of 9081

Frequently Asked Questions on LCM of 9080 and 9081

1. What is the LCM of 9080 and 9081?

Answer: LCM of 9080 and 9081 is 82455480.

2. What are the Factors of 9080?

Answer: Factors of 9080 are 1, 2, 4, 5, 8, 10, 20, 40, 227, 454, 908, 1135, 1816, 2270, 4540, 9080. There are 16 integers that are factors of 9080. The greatest factor of 9080 is 9080.

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 9080 and 9081?

Answer:

Least Common Multiple of 9080 and 9081 = 82455480

Step 1: Find the prime factorization of 9080

9080 = 2 x 2 x 2 x 5 x 227

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 = 82455480 = 2 x 2 x 2 x 3 x 3 x 5 x 227 x 1009

Step 4: Therefore, the least common multiple of 9080 and 9081 is 82455480.