Least Common Multiple of 9173 and 9180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9173 and 9180 the smallest integer that is 84208140 that is divisible by both numbers.

Least Common Multiple (LCM) of 9173 and 9180 is 84208140.

LCM(9173,9180) = 84208140

LCM of 9173 and 9180

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

LCM of:
and

Least Common Multiple of 9173 and 9180

LCM of 9173 and 9180 is 84208140

Least common multiple can be found by multiplying the highest exponent prime factors of 9173 and 9180. First we will calculate the prime factors of 9173 and 9180.

Prime Factorization of 9173


9173 9173
1

Prime factors of 9173 are 9173. Prime factorization of 9173 in exponential form is:

9173 = 91731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9173 and 9180.

LCM(9173,9180) = 22×33×51×171×91731
LCM(9173,9180) = 84208140

Factors of 9173

List of positive integer factors of 9173 that divides 9173 without a remainder.

1, 9173

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

Least Common Multiple of 9173 and 9180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9173 and 9180, than apply into the LCM equation.

GCF(9173,9180) = 1
LCM(9173,9180) = ( 9173 × 9180) / 1
LCM(9173,9180) = 84208140 / 1
LCM(9173,9180) = 84208140

Properties of LCM 9173 and 9180

(i) The LCM of 9180 and 9173 is associative

LCM of 9173 and 9180 = LCM of 9180 and 9173

Related Least Common Multiples of 9173

Related Least Common Multiples of 9180

Frequently Asked Questions on LCM of 9173 and 9180

1. What is the LCM of 9173 and 9180?

Answer: LCM of 9173 and 9180 is 84208140.

2. What are the Factors of 9173?

Answer: Factors of 9173 are 1, 9173. There are 2 integers that are factors of 9173. The greatest factor of 9173 is 9173.

3. 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.

4. How to Find the LCM of 9173 and 9180?

Answer:

Least Common Multiple of 9173 and 9180 = 84208140

Step 1: Find the prime factorization of 9173

9173 = 9173

Step 2: Find the prime factorization of 9180

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

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

LCM = 84208140 = 2 x 2 x 3 x 3 x 3 x 5 x 17 x 9173

Step 4: Therefore, the least common multiple of 9173 and 9180 is 84208140.