Least Common Multiple of 9172 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 9172 and 9180 the smallest integer that is 21049740 that is divisible by both numbers.

Least Common Multiple (LCM) of 9172 and 9180 is 21049740.

LCM(9172,9180) = 21049740

LCM of 9172 and 9180

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

LCM of:
and

Least Common Multiple of 9172 and 9180

LCM of 9172 and 9180 is 21049740

Least common multiple can be found by multiplying the highest exponent prime factors of 9172 and 9180. First we will calculate the prime factors of 9172 and 9180.

Prime Factorization of 9172


2 9172
2 4586
2293 2293
1

Prime factors of 9172 are 2,2293. Prime factorization of 9172 in exponential form is:

9172 = 22×22931

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 9172 and 9180.

LCM(9172,9180) = 22×33×51×171×22931
LCM(9172,9180) = 21049740

Factors of 9172

List of positive integer factors of 9172 that divides 9172 without a remainder.

1, 2, 4, 2293, 4586, 9172

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 9172 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 9172 and 9180, than apply into the LCM equation.

GCF(9172,9180) = 4
LCM(9172,9180) = ( 9172 × 9180) / 4
LCM(9172,9180) = 84198960 / 4
LCM(9172,9180) = 21049740

Properties of LCM 9172 and 9180

(i) The LCM of 9180 and 9172 is associative

LCM of 9172 and 9180 = LCM of 9180 and 9172

Related Least Common Multiples of 9172

Related Least Common Multiples of 9180

Frequently Asked Questions on LCM of 9172 and 9180

1. What is the LCM of 9172 and 9180?

Answer: LCM of 9172 and 9180 is 21049740.

2. What are the Factors of 9172?

Answer: Factors of 9172 are 1, 2, 4, 2293, 4586, 9172. There are 6 integers that are factors of 9172. The greatest factor of 9172 is 9172.

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 9172 and 9180?

Answer:

Least Common Multiple of 9172 and 9180 = 21049740

Step 1: Find the prime factorization of 9172

9172 = 2 x 2 x 2293

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 = 21049740 = 2 x 2 x 3 x 3 x 3 x 5 x 17 x 2293

Step 4: Therefore, the least common multiple of 9172 and 9180 is 21049740.