Least Common Multiple of 9184 and 9190

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 9190 the smallest integer that is 42200480 that is divisible by both numbers.

Least Common Multiple (LCM) of 9184 and 9190 is 42200480.

LCM(9184,9190) = 42200480

LCM of 9184 and 9190

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

LCM of:
and

Least Common Multiple of 9184 and 9190

LCM of 9184 and 9190 is 42200480

Least common multiple can be found by multiplying the highest exponent prime factors of 9184 and 9190. First we will calculate the prime factors of 9184 and 9190.

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 9190


2 9190
5 4595
919 919
1

Prime factors of 9190 are 2, 5,919. Prime factorization of 9190 in exponential form is:

9190 = 21×51×9191

Now multiplying the highest exponent prime factors to calculate the LCM of 9184 and 9190.

LCM(9184,9190) = 25×51×71×411×9191
LCM(9184,9190) = 42200480

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 9190

List of positive integer factors of 9190 that divides 9190 without a remainder.

1, 2, 5, 10, 919, 1838, 4595, 9190

Least Common Multiple of 9184 and 9190 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 9190, than apply into the LCM equation.

GCF(9184,9190) = 2
LCM(9184,9190) = ( 9184 × 9190) / 2
LCM(9184,9190) = 84400960 / 2
LCM(9184,9190) = 42200480

Properties of LCM 9184 and 9190

(i) The LCM of 9190 and 9184 is associative

LCM of 9184 and 9190 = LCM of 9190 and 9184

Related Least Common Multiples of 9184

Related Least Common Multiples of 9190

Frequently Asked Questions on LCM of 9184 and 9190

1. What is the LCM of 9184 and 9190?

Answer: LCM of 9184 and 9190 is 42200480.

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 9190?

Answer: Factors of 9190 are 1, 2, 5, 10, 919, 1838, 4595, 9190. There are 8 integers that are factors of 9190. The greatest factor of 9190 is 9190.

4. How to Find the LCM of 9184 and 9190?

Answer:

Least Common Multiple of 9184 and 9190 = 42200480

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 9190

9190 = 2 x 5 x 919

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

LCM = 42200480 = 2 x 2 x 2 x 2 x 2 x 5 x 7 x 41 x 919

Step 4: Therefore, the least common multiple of 9184 and 9190 is 42200480.