Least Common Multiple of 9180 and 9181

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9180 and 9181 the smallest integer that is 84281580 that is divisible by both numbers.

Least Common Multiple (LCM) of 9180 and 9181 is 84281580.

LCM(9180,9181) = 84281580

LCM of 9180 and 9181

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

LCM of:
and

Least Common Multiple of 9180 and 9181

LCM of 9180 and 9181 is 84281580

Least common multiple can be found by multiplying the highest exponent prime factors of 9180 and 9181. First we will calculate the prime factors of 9180 and 9181.

Prime Factorization of 9180


2 9180
2 4590
3 2295
3 765
3 255
5 85
17 17
1

Prime factors of 9180 are 2, 3, 5,17. Prime factorization of 9180 in exponential form is:

9180 = 22×33×51×171

Prime Factorization of 9181


9181 9181
1

Prime factors of 9181 are 9181. Prime factorization of 9181 in exponential form is:

9181 = 91811

Now multiplying the highest exponent prime factors to calculate the LCM of 9180 and 9181.

LCM(9180,9181) = 22×33×51×171×91811
LCM(9180,9181) = 84281580

Factors of 9180

List of positive integer factors of 9180 that divides 9180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 27, 30, 34, 36, 45, 51, 54, 60, 68, 85, 90, 102, 108, 135, 153, 170, 180, 204, 255, 270, 306, 340, 459, 510, 540, 612, 765, 918, 1020, 1530, 1836, 2295, 3060, 4590, 9180

Factors of 9181

List of positive integer factors of 9181 that divides 9181 without a remainder.

1, 9181

Least Common Multiple of 9180 and 9181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9180 and 9181, than apply into the LCM equation.

GCF(9180,9181) = 1
LCM(9180,9181) = ( 9180 × 9181) / 1
LCM(9180,9181) = 84281580 / 1
LCM(9180,9181) = 84281580

Properties of LCM 9180 and 9181

(i) The LCM of 9181 and 9180 is associative

LCM of 9180 and 9181 = LCM of 9181 and 9180

Related Least Common Multiples of 9180

Related Least Common Multiples of 9181

Frequently Asked Questions on LCM of 9180 and 9181

1. What is the LCM of 9180 and 9181?

Answer: LCM of 9180 and 9181 is 84281580.

2. What are the Factors of 9180?

Answer: Factors of 9180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 27, 30, 34, 36, 45, 51, 54, 60, 68, 85, 90, 102, 108, 135, 153, 170, 180, 204, 255, 270, 306, 340, 459, 510, 540, 612, 765, 918, 1020, 1530, 1836, 2295, 3060, 4590, 9180. There are 48 integers that are factors of 9180. The greatest factor of 9180 is 9180.

3. What are the Factors of 9181?

Answer: Factors of 9181 are 1, 9181. There are 2 integers that are factors of 9181. The greatest factor of 9181 is 9181.

4. How to Find the LCM of 9180 and 9181?

Answer:

Least Common Multiple of 9180 and 9181 = 84281580

Step 1: Find the prime factorization of 9180

9180 = 2 x 2 x 3 x 3 x 3 x 5 x 17

Step 2: Find the prime factorization of 9181

9181 = 9181

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

LCM = 84281580 = 2 x 2 x 3 x 3 x 3 x 5 x 17 x 9181

Step 4: Therefore, the least common multiple of 9180 and 9181 is 84281580.