Least Common Multiple of 9091 and 9096

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9091 and 9096 the smallest integer that is 82691736 that is divisible by both numbers.

Least Common Multiple (LCM) of 9091 and 9096 is 82691736.

LCM(9091,9096) = 82691736

LCM of 9091 and 9096

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

LCM of:
and

Least Common Multiple of 9091 and 9096

LCM of 9091 and 9096 is 82691736

Least common multiple can be found by multiplying the highest exponent prime factors of 9091 and 9096. First we will calculate the prime factors of 9091 and 9096.

Prime Factorization of 9091


9091 9091
1

Prime factors of 9091 are 9091. Prime factorization of 9091 in exponential form is:

9091 = 90911

Prime Factorization of 9096


2 9096
2 4548
2 2274
3 1137
379 379
1

Prime factors of 9096 are 2, 3,379. Prime factorization of 9096 in exponential form is:

9096 = 23×31×3791

Now multiplying the highest exponent prime factors to calculate the LCM of 9091 and 9096.

LCM(9091,9096) = 23×31×3791×90911
LCM(9091,9096) = 82691736

Factors of 9091

List of positive integer factors of 9091 that divides 9091 without a remainder.

1, 9091

Factors of 9096

List of positive integer factors of 9096 that divides 9096 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 379, 758, 1137, 1516, 2274, 3032, 4548, 9096

Least Common Multiple of 9091 and 9096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9091 and 9096, than apply into the LCM equation.

GCF(9091,9096) = 1
LCM(9091,9096) = ( 9091 × 9096) / 1
LCM(9091,9096) = 82691736 / 1
LCM(9091,9096) = 82691736

Properties of LCM 9091 and 9096

(i) The LCM of 9096 and 9091 is associative

LCM of 9091 and 9096 = LCM of 9096 and 9091

Related Least Common Multiples of 9091

Related Least Common Multiples of 9096

Frequently Asked Questions on LCM of 9091 and 9096

1. What is the LCM of 9091 and 9096?

Answer: LCM of 9091 and 9096 is 82691736.

2. What are the Factors of 9091?

Answer: Factors of 9091 are 1, 9091. There are 2 integers that are factors of 9091. The greatest factor of 9091 is 9091.

3. What are the Factors of 9096?

Answer: Factors of 9096 are 1, 2, 3, 4, 6, 8, 12, 24, 379, 758, 1137, 1516, 2274, 3032, 4548, 9096. There are 16 integers that are factors of 9096. The greatest factor of 9096 is 9096.

4. How to Find the LCM of 9091 and 9096?

Answer:

Least Common Multiple of 9091 and 9096 = 82691736

Step 1: Find the prime factorization of 9091

9091 = 9091

Step 2: Find the prime factorization of 9096

9096 = 2 x 2 x 2 x 3 x 379

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

LCM = 82691736 = 2 x 2 x 2 x 3 x 379 x 9091

Step 4: Therefore, the least common multiple of 9091 and 9096 is 82691736.