Least Common Multiple of 9180 and 9184

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 9184 the smallest integer that is 21077280 that is divisible by both numbers.

Least Common Multiple (LCM) of 9180 and 9184 is 21077280.

LCM(9180,9184) = 21077280

LCM of 9180 and 9184

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

LCM of:
and

Least Common Multiple of 9180 and 9184

LCM of 9180 and 9184 is 21077280

Least common multiple can be found by multiplying the highest exponent prime factors of 9180 and 9184. First we will calculate the prime factors of 9180 and 9184.

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 9184


2 9184
2 4592
2 2296
2 1148
2 574
7 287
41 41
1

Prime factors of 9184 are 2, 7,41. Prime factorization of 9184 in exponential form is:

9184 = 25×71×411

Now multiplying the highest exponent prime factors to calculate the LCM of 9180 and 9184.

LCM(9180,9184) = 25×33×51×71×171×411
LCM(9180,9184) = 21077280

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 9184

List of positive integer factors of 9184 that divides 9184 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 41, 56, 82, 112, 164, 224, 287, 328, 574, 656, 1148, 1312, 2296, 4592, 9184

Least Common Multiple of 9180 and 9184 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 9184, than apply into the LCM equation.

GCF(9180,9184) = 4
LCM(9180,9184) = ( 9180 × 9184) / 4
LCM(9180,9184) = 84309120 / 4
LCM(9180,9184) = 21077280

Properties of LCM 9180 and 9184

(i) The LCM of 9184 and 9180 is associative

LCM of 9180 and 9184 = LCM of 9184 and 9180

Related Least Common Multiples of 9180

Related Least Common Multiples of 9184

Frequently Asked Questions on LCM of 9180 and 9184

1. What is the LCM of 9180 and 9184?

Answer: LCM of 9180 and 9184 is 21077280.

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 9184?

Answer: Factors of 9184 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 41, 56, 82, 112, 164, 224, 287, 328, 574, 656, 1148, 1312, 2296, 4592, 9184. There are 24 integers that are factors of 9184. The greatest factor of 9184 is 9184.

4. How to Find the LCM of 9180 and 9184?

Answer:

Least Common Multiple of 9180 and 9184 = 21077280

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 9184

9184 = 2 x 2 x 2 x 2 x 2 x 7 x 41

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

LCM = 21077280 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 17 x 41

Step 4: Therefore, the least common multiple of 9180 and 9184 is 21077280.