Least Common Multiple of 9190 and 9196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9190 and 9196 the smallest integer that is 42255620 that is divisible by both numbers.

Least Common Multiple (LCM) of 9190 and 9196 is 42255620.

LCM(9190,9196) = 42255620

LCM of 9190 and 9196

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

LCM of:
and

Least Common Multiple of 9190 and 9196

LCM of 9190 and 9196 is 42255620

Least common multiple can be found by multiplying the highest exponent prime factors of 9190 and 9196. First we will calculate the prime factors of 9190 and 9196.

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

Prime Factorization of 9196


2 9196
2 4598
11 2299
11 209
19 19
1

Prime factors of 9196 are 2, 11,19. Prime factorization of 9196 in exponential form is:

9196 = 22×112×191

Now multiplying the highest exponent prime factors to calculate the LCM of 9190 and 9196.

LCM(9190,9196) = 22×51×112×191×9191
LCM(9190,9196) = 42255620

Factors of 9190

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

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

Factors of 9196

List of positive integer factors of 9196 that divides 9196 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 121, 209, 242, 418, 484, 836, 2299, 4598, 9196

Least Common Multiple of 9190 and 9196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9190 and 9196, than apply into the LCM equation.

GCF(9190,9196) = 2
LCM(9190,9196) = ( 9190 × 9196) / 2
LCM(9190,9196) = 84511240 / 2
LCM(9190,9196) = 42255620

Properties of LCM 9190 and 9196

(i) The LCM of 9196 and 9190 is associative

LCM of 9190 and 9196 = LCM of 9196 and 9190

Related Least Common Multiples of 9190

Related Least Common Multiples of 9196

Frequently Asked Questions on LCM of 9190 and 9196

1. What is the LCM of 9190 and 9196?

Answer: LCM of 9190 and 9196 is 42255620.

2. 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.

3. What are the Factors of 9196?

Answer: Factors of 9196 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 121, 209, 242, 418, 484, 836, 2299, 4598, 9196. There are 18 integers that are factors of 9196. The greatest factor of 9196 is 9196.

4. How to Find the LCM of 9190 and 9196?

Answer:

Least Common Multiple of 9190 and 9196 = 42255620

Step 1: Find the prime factorization of 9190

9190 = 2 x 5 x 919

Step 2: Find the prime factorization of 9196

9196 = 2 x 2 x 11 x 11 x 19

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

LCM = 42255620 = 2 x 2 x 5 x 11 x 11 x 19 x 919

Step 4: Therefore, the least common multiple of 9190 and 9196 is 42255620.