Least Common Multiple of 9180 and 9183

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 9183 the smallest integer that is 28099980 that is divisible by both numbers.

Least Common Multiple (LCM) of 9180 and 9183 is 28099980.

LCM(9180,9183) = 28099980

LCM of 9180 and 9183

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

LCM of:
and

Least Common Multiple of 9180 and 9183

LCM of 9180 and 9183 is 28099980

Least common multiple can be found by multiplying the highest exponent prime factors of 9180 and 9183. First we will calculate the prime factors of 9180 and 9183.

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 9183


3 9183
3061 3061
1

Prime factors of 9183 are 3,3061. Prime factorization of 9183 in exponential form is:

9183 = 31×30611

Now multiplying the highest exponent prime factors to calculate the LCM of 9180 and 9183.

LCM(9180,9183) = 22×33×51×171×30611
LCM(9180,9183) = 28099980

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 9183

List of positive integer factors of 9183 that divides 9183 without a remainder.

1, 3, 3061, 9183

Least Common Multiple of 9180 and 9183 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 9183, than apply into the LCM equation.

GCF(9180,9183) = 3
LCM(9180,9183) = ( 9180 × 9183) / 3
LCM(9180,9183) = 84299940 / 3
LCM(9180,9183) = 28099980

Properties of LCM 9180 and 9183

(i) The LCM of 9183 and 9180 is associative

LCM of 9180 and 9183 = LCM of 9183 and 9180

Related Least Common Multiples of 9180

Related Least Common Multiples of 9183

Frequently Asked Questions on LCM of 9180 and 9183

1. What is the LCM of 9180 and 9183?

Answer: LCM of 9180 and 9183 is 28099980.

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 9183?

Answer: Factors of 9183 are 1, 3, 3061, 9183. There are 4 integers that are factors of 9183. The greatest factor of 9183 is 9183.

4. How to Find the LCM of 9180 and 9183?

Answer:

Least Common Multiple of 9180 and 9183 = 28099980

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 9183

9183 = 3 x 3061

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

LCM = 28099980 = 2 x 2 x 3 x 3 x 3 x 5 x 17 x 3061

Step 4: Therefore, the least common multiple of 9180 and 9183 is 28099980.