Least Common Multiple of 9177 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 9177 and 9180 the smallest integer that is 28081620 that is divisible by both numbers.

Least Common Multiple (LCM) of 9177 and 9180 is 28081620.

LCM(9177,9180) = 28081620

LCM of 9177 and 9180

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

LCM of:
and

Least Common Multiple of 9177 and 9180

LCM of 9177 and 9180 is 28081620

Least common multiple can be found by multiplying the highest exponent prime factors of 9177 and 9180. First we will calculate the prime factors of 9177 and 9180.

Prime Factorization of 9177


3 9177
7 3059
19 437
23 23
1

Prime factors of 9177 are 3, 7, 19,23. Prime factorization of 9177 in exponential form is:

9177 = 31×71×191×231

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 9177 and 9180.

LCM(9177,9180) = 22×33×51×71×171×191×231
LCM(9177,9180) = 28081620

Factors of 9177

List of positive integer factors of 9177 that divides 9177 without a remainder.

1, 3, 7, 19, 21, 23, 57, 69, 133, 161, 399, 437, 483, 1311, 3059, 9177

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 9177 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 9177 and 9180, than apply into the LCM equation.

GCF(9177,9180) = 3
LCM(9177,9180) = ( 9177 × 9180) / 3
LCM(9177,9180) = 84244860 / 3
LCM(9177,9180) = 28081620

Properties of LCM 9177 and 9180

(i) The LCM of 9180 and 9177 is associative

LCM of 9177 and 9180 = LCM of 9180 and 9177

Related Least Common Multiples of 9177

Related Least Common Multiples of 9180

Frequently Asked Questions on LCM of 9177 and 9180

1. What is the LCM of 9177 and 9180?

Answer: LCM of 9177 and 9180 is 28081620.

2. What are the Factors of 9177?

Answer: Factors of 9177 are 1, 3, 7, 19, 21, 23, 57, 69, 133, 161, 399, 437, 483, 1311, 3059, 9177. There are 16 integers that are factors of 9177. The greatest factor of 9177 is 9177.

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 9177 and 9180?

Answer:

Least Common Multiple of 9177 and 9180 = 28081620

Step 1: Find the prime factorization of 9177

9177 = 3 x 7 x 19 x 23

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 = 28081620 = 2 x 2 x 3 x 3 x 3 x 5 x 7 x 17 x 19 x 23

Step 4: Therefore, the least common multiple of 9177 and 9180 is 28081620.