Least Common Multiple of 9177 and 9184

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 9184 the smallest integer that is 12040224 that is divisible by both numbers.

Least Common Multiple (LCM) of 9177 and 9184 is 12040224.

LCM(9177,9184) = 12040224

LCM of 9177 and 9184

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

LCM of:
and

Least Common Multiple of 9177 and 9184

LCM of 9177 and 9184 is 12040224

Least common multiple can be found by multiplying the highest exponent prime factors of 9177 and 9184. First we will calculate the prime factors of 9177 and 9184.

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 9184


2 9184
2 4592
2 2296
2 1148
2 574
7 287
41 41
1

Prime factors of 9184 are 2, 7,41. Prime factorization of 9184 in exponential form is:

9184 = 25×71×411

Now multiplying the highest exponent prime factors to calculate the LCM of 9177 and 9184.

LCM(9177,9184) = 25×31×71×191×231×411
LCM(9177,9184) = 12040224

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 9184

List of positive integer factors of 9184 that divides 9184 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 41, 56, 82, 112, 164, 224, 287, 328, 574, 656, 1148, 1312, 2296, 4592, 9184

Least Common Multiple of 9177 and 9184 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 9184, than apply into the LCM equation.

GCF(9177,9184) = 7
LCM(9177,9184) = ( 9177 × 9184) / 7
LCM(9177,9184) = 84281568 / 7
LCM(9177,9184) = 12040224

Properties of LCM 9177 and 9184

(i) The LCM of 9184 and 9177 is associative

LCM of 9177 and 9184 = LCM of 9184 and 9177

Related Least Common Multiples of 9177

Related Least Common Multiples of 9184

Frequently Asked Questions on LCM of 9177 and 9184

1. What is the LCM of 9177 and 9184?

Answer: LCM of 9177 and 9184 is 12040224.

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 9184?

Answer: Factors of 9184 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 41, 56, 82, 112, 164, 224, 287, 328, 574, 656, 1148, 1312, 2296, 4592, 9184. There are 24 integers that are factors of 9184. The greatest factor of 9184 is 9184.

4. How to Find the LCM of 9177 and 9184?

Answer:

Least Common Multiple of 9177 and 9184 = 12040224

Step 1: Find the prime factorization of 9177

9177 = 3 x 7 x 19 x 23

Step 2: Find the prime factorization of 9184

9184 = 2 x 2 x 2 x 2 x 2 x 7 x 41

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

LCM = 12040224 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 19 x 23 x 41

Step 4: Therefore, the least common multiple of 9177 and 9184 is 12040224.