Least Common Multiple of 9180 and 9185

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 9185 the smallest integer that is 16863660 that is divisible by both numbers.

Least Common Multiple (LCM) of 9180 and 9185 is 16863660.

LCM(9180,9185) = 16863660

LCM of 9180 and 9185

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

LCM of:
and

Least Common Multiple of 9180 and 9185

LCM of 9180 and 9185 is 16863660

Least common multiple can be found by multiplying the highest exponent prime factors of 9180 and 9185. First we will calculate the prime factors of 9180 and 9185.

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 9185


5 9185
11 1837
167 167
1

Prime factors of 9185 are 5, 11,167. Prime factorization of 9185 in exponential form is:

9185 = 51×111×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 9180 and 9185.

LCM(9180,9185) = 22×33×51×111×171×1671
LCM(9180,9185) = 16863660

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 9185

List of positive integer factors of 9185 that divides 9185 without a remainder.

1, 5, 11, 55, 167, 835, 1837, 9185

Least Common Multiple of 9180 and 9185 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 9185, than apply into the LCM equation.

GCF(9180,9185) = 5
LCM(9180,9185) = ( 9180 × 9185) / 5
LCM(9180,9185) = 84318300 / 5
LCM(9180,9185) = 16863660

Properties of LCM 9180 and 9185

(i) The LCM of 9185 and 9180 is associative

LCM of 9180 and 9185 = LCM of 9185 and 9180

Related Least Common Multiples of 9180

Related Least Common Multiples of 9185

Frequently Asked Questions on LCM of 9180 and 9185

1. What is the LCM of 9180 and 9185?

Answer: LCM of 9180 and 9185 is 16863660.

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 9185?

Answer: Factors of 9185 are 1, 5, 11, 55, 167, 835, 1837, 9185. There are 8 integers that are factors of 9185. The greatest factor of 9185 is 9185.

4. How to Find the LCM of 9180 and 9185?

Answer:

Least Common Multiple of 9180 and 9185 = 16863660

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 9185

9185 = 5 x 11 x 167

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

LCM = 16863660 = 2 x 2 x 3 x 3 x 3 x 5 x 11 x 17 x 167

Step 4: Therefore, the least common multiple of 9180 and 9185 is 16863660.