Least Common Multiple of 9184 and 9189

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 9189 the smallest integer that is 84391776 that is divisible by both numbers.

Least Common Multiple (LCM) of 9184 and 9189 is 84391776.

LCM(9184,9189) = 84391776

LCM of 9184 and 9189

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

LCM of:
and

Least Common Multiple of 9184 and 9189

LCM of 9184 and 9189 is 84391776

Least common multiple can be found by multiplying the highest exponent prime factors of 9184 and 9189. First we will calculate the prime factors of 9184 and 9189.

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 9189


3 9189
3 3063
1021 1021
1

Prime factors of 9189 are 3,1021. Prime factorization of 9189 in exponential form is:

9189 = 32×10211

Now multiplying the highest exponent prime factors to calculate the LCM of 9184 and 9189.

LCM(9184,9189) = 25×32×71×411×10211
LCM(9184,9189) = 84391776

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 9189

List of positive integer factors of 9189 that divides 9189 without a remainder.

1, 3, 9, 1021, 3063, 9189

Least Common Multiple of 9184 and 9189 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 9189, than apply into the LCM equation.

GCF(9184,9189) = 1
LCM(9184,9189) = ( 9184 × 9189) / 1
LCM(9184,9189) = 84391776 / 1
LCM(9184,9189) = 84391776

Properties of LCM 9184 and 9189

(i) The LCM of 9189 and 9184 is associative

LCM of 9184 and 9189 = LCM of 9189 and 9184

Related Least Common Multiples of 9184

Related Least Common Multiples of 9189

Frequently Asked Questions on LCM of 9184 and 9189

1. What is the LCM of 9184 and 9189?

Answer: LCM of 9184 and 9189 is 84391776.

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 9189?

Answer: Factors of 9189 are 1, 3, 9, 1021, 3063, 9189. There are 6 integers that are factors of 9189. The greatest factor of 9189 is 9189.

4. How to Find the LCM of 9184 and 9189?

Answer:

Least Common Multiple of 9184 and 9189 = 84391776

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 9189

9189 = 3 x 3 x 1021

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

LCM = 84391776 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 41 x 1021

Step 4: Therefore, the least common multiple of 9184 and 9189 is 84391776.