Least Common Multiple of 9184 and 9192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9184 and 9192 the smallest integer that is 10552416 that is divisible by both numbers.

Least Common Multiple (LCM) of 9184 and 9192 is 10552416.

LCM(9184,9192) = 10552416

LCM of 9184 and 9192

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

LCM of:
and

Least Common Multiple of 9184 and 9192

LCM of 9184 and 9192 is 10552416

Least common multiple can be found by multiplying the highest exponent prime factors of 9184 and 9192. First we will calculate the prime factors of 9184 and 9192.

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

Prime Factorization of 9192


2 9192
2 4596
2 2298
3 1149
383 383
1

Prime factors of 9192 are 2, 3,383. Prime factorization of 9192 in exponential form is:

9192 = 23×31×3831

Now multiplying the highest exponent prime factors to calculate the LCM of 9184 and 9192.

LCM(9184,9192) = 25×31×71×411×3831
LCM(9184,9192) = 10552416

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

Factors of 9192

List of positive integer factors of 9192 that divides 9192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 383, 766, 1149, 1532, 2298, 3064, 4596, 9192

Least Common Multiple of 9184 and 9192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9184 and 9192, than apply into the LCM equation.

GCF(9184,9192) = 8
LCM(9184,9192) = ( 9184 × 9192) / 8
LCM(9184,9192) = 84419328 / 8
LCM(9184,9192) = 10552416

Properties of LCM 9184 and 9192

(i) The LCM of 9192 and 9184 is associative

LCM of 9184 and 9192 = LCM of 9192 and 9184

Related Least Common Multiples of 9184

Related Least Common Multiples of 9192

Frequently Asked Questions on LCM of 9184 and 9192

1. What is the LCM of 9184 and 9192?

Answer: LCM of 9184 and 9192 is 10552416.

2. 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.

3. What are the Factors of 9192?

Answer: Factors of 9192 are 1, 2, 3, 4, 6, 8, 12, 24, 383, 766, 1149, 1532, 2298, 3064, 4596, 9192. There are 16 integers that are factors of 9192. The greatest factor of 9192 is 9192.

4. How to Find the LCM of 9184 and 9192?

Answer:

Least Common Multiple of 9184 and 9192 = 10552416

Step 1: Find the prime factorization of 9184

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

Step 2: Find the prime factorization of 9192

9192 = 2 x 2 x 2 x 3 x 383

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

LCM = 10552416 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 41 x 383

Step 4: Therefore, the least common multiple of 9184 and 9192 is 10552416.