Least Common Multiple of 9188 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 9188 and 9190 the smallest integer that is 42218860 that is divisible by both numbers.

Least Common Multiple (LCM) of 9188 and 9190 is 42218860.

LCM(9188,9190) = 42218860

LCM of 9188 and 9190

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

LCM of:
and

Least Common Multiple of 9188 and 9190

LCM of 9188 and 9190 is 42218860

Least common multiple can be found by multiplying the highest exponent prime factors of 9188 and 9190. First we will calculate the prime factors of 9188 and 9190.

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

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 9188 and 9190.

LCM(9188,9190) = 22×51×9191×22971
LCM(9188,9190) = 42218860

Factors of 9188

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

1, 2, 4, 2297, 4594, 9188

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 9188 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 9188 and 9190, than apply into the LCM equation.

GCF(9188,9190) = 2
LCM(9188,9190) = ( 9188 × 9190) / 2
LCM(9188,9190) = 84437720 / 2
LCM(9188,9190) = 42218860

Properties of LCM 9188 and 9190

(i) The LCM of 9190 and 9188 is associative

LCM of 9188 and 9190 = LCM of 9190 and 9188

Related Least Common Multiples of 9188

Related Least Common Multiples of 9190

Frequently Asked Questions on LCM of 9188 and 9190

1. What is the LCM of 9188 and 9190?

Answer: LCM of 9188 and 9190 is 42218860.

2. 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.

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 9188 and 9190?

Answer:

Least Common Multiple of 9188 and 9190 = 42218860

Step 1: Find the prime factorization of 9188

9188 = 2 x 2 x 2297

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 = 42218860 = 2 x 2 x 5 x 919 x 2297

Step 4: Therefore, the least common multiple of 9188 and 9190 is 42218860.