Least Common Multiple of 9184 and 9188

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 9188 the smallest integer that is 21095648 that is divisible by both numbers.

Least Common Multiple (LCM) of 9184 and 9188 is 21095648.

LCM(9184,9188) = 21095648

LCM of 9184 and 9188

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

LCM of:
and

Least Common Multiple of 9184 and 9188

LCM of 9184 and 9188 is 21095648

Least common multiple can be found by multiplying the highest exponent prime factors of 9184 and 9188. First we will calculate the prime factors of 9184 and 9188.

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 9188


2 9188
2 4594
2297 2297
1

Prime factors of 9188 are 2,2297. Prime factorization of 9188 in exponential form is:

9188 = 22×22971

Now multiplying the highest exponent prime factors to calculate the LCM of 9184 and 9188.

LCM(9184,9188) = 25×71×411×22971
LCM(9184,9188) = 21095648

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 9188

List of positive integer factors of 9188 that divides 9188 without a remainder.

1, 2, 4, 2297, 4594, 9188

Least Common Multiple of 9184 and 9188 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 9188, than apply into the LCM equation.

GCF(9184,9188) = 4
LCM(9184,9188) = ( 9184 × 9188) / 4
LCM(9184,9188) = 84382592 / 4
LCM(9184,9188) = 21095648

Properties of LCM 9184 and 9188

(i) The LCM of 9188 and 9184 is associative

LCM of 9184 and 9188 = LCM of 9188 and 9184

Related Least Common Multiples of 9184

Related Least Common Multiples of 9188

Frequently Asked Questions on LCM of 9184 and 9188

1. What is the LCM of 9184 and 9188?

Answer: LCM of 9184 and 9188 is 21095648.

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 9188?

Answer: Factors of 9188 are 1, 2, 4, 2297, 4594, 9188. There are 6 integers that are factors of 9188. The greatest factor of 9188 is 9188.

4. How to Find the LCM of 9184 and 9188?

Answer:

Least Common Multiple of 9184 and 9188 = 21095648

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 9188

9188 = 2 x 2 x 2297

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

LCM = 21095648 = 2 x 2 x 2 x 2 x 2 x 7 x 41 x 2297

Step 4: Therefore, the least common multiple of 9184 and 9188 is 21095648.