Least Common Multiple of 9186 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 9186 and 9190 the smallest integer that is 42209670 that is divisible by both numbers.

Least Common Multiple (LCM) of 9186 and 9190 is 42209670.

LCM(9186,9190) = 42209670

LCM of 9186 and 9190

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

LCM of:
and

Least Common Multiple of 9186 and 9190

LCM of 9186 and 9190 is 42209670

Least common multiple can be found by multiplying the highest exponent prime factors of 9186 and 9190. First we will calculate the prime factors of 9186 and 9190.

Prime Factorization of 9186


2 9186
3 4593
1531 1531
1

Prime factors of 9186 are 2, 3,1531. Prime factorization of 9186 in exponential form is:

9186 = 21×31×15311

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 9186 and 9190.

LCM(9186,9190) = 21×31×51×9191×15311
LCM(9186,9190) = 42209670

Factors of 9186

List of positive integer factors of 9186 that divides 9186 without a remainder.

1, 2, 3, 6, 1531, 3062, 4593, 9186

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 9186 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 9186 and 9190, than apply into the LCM equation.

GCF(9186,9190) = 2
LCM(9186,9190) = ( 9186 × 9190) / 2
LCM(9186,9190) = 84419340 / 2
LCM(9186,9190) = 42209670

Properties of LCM 9186 and 9190

(i) The LCM of 9190 and 9186 is associative

LCM of 9186 and 9190 = LCM of 9190 and 9186

Related Least Common Multiples of 9186

Related Least Common Multiples of 9190

Frequently Asked Questions on LCM of 9186 and 9190

1. What is the LCM of 9186 and 9190?

Answer: LCM of 9186 and 9190 is 42209670.

2. What are the Factors of 9186?

Answer: Factors of 9186 are 1, 2, 3, 6, 1531, 3062, 4593, 9186. There are 8 integers that are factors of 9186. The greatest factor of 9186 is 9186.

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 9186 and 9190?

Answer:

Least Common Multiple of 9186 and 9190 = 42209670

Step 1: Find the prime factorization of 9186

9186 = 2 x 3 x 1531

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 = 42209670 = 2 x 3 x 5 x 919 x 1531

Step 4: Therefore, the least common multiple of 9186 and 9190 is 42209670.