Least Common Multiple of 9089 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 9089 and 9096 the smallest integer that is 82673544 that is divisible by both numbers.

Least Common Multiple (LCM) of 9089 and 9096 is 82673544.

LCM(9089,9096) = 82673544

LCM of 9089 and 9096

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

LCM of:
and

Least Common Multiple of 9089 and 9096

LCM of 9089 and 9096 is 82673544

Least common multiple can be found by multiplying the highest exponent prime factors of 9089 and 9096. First we will calculate the prime factors of 9089 and 9096.

Prime Factorization of 9089


61 9089
149 149
1

Prime factors of 9089 are 61,149. Prime factorization of 9089 in exponential form is:

9089 = 611×1491

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 9089 and 9096.

LCM(9089,9096) = 23×31×611×1491×3791
LCM(9089,9096) = 82673544

Factors of 9089

List of positive integer factors of 9089 that divides 9089 without a remainder.

1, 61, 149, 9089

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 9089 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 9089 and 9096, than apply into the LCM equation.

GCF(9089,9096) = 1
LCM(9089,9096) = ( 9089 × 9096) / 1
LCM(9089,9096) = 82673544 / 1
LCM(9089,9096) = 82673544

Properties of LCM 9089 and 9096

(i) The LCM of 9096 and 9089 is associative

LCM of 9089 and 9096 = LCM of 9096 and 9089

Related Least Common Multiples of 9089

Related Least Common Multiples of 9096

Frequently Asked Questions on LCM of 9089 and 9096

1. What is the LCM of 9089 and 9096?

Answer: LCM of 9089 and 9096 is 82673544.

2. What are the Factors of 9089?

Answer: Factors of 9089 are 1, 61, 149, 9089. There are 4 integers that are factors of 9089. The greatest factor of 9089 is 9089.

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 9089 and 9096?

Answer:

Least Common Multiple of 9089 and 9096 = 82673544

Step 1: Find the prime factorization of 9089

9089 = 61 x 149

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 = 82673544 = 2 x 2 x 2 x 3 x 61 x 149 x 379

Step 4: Therefore, the least common multiple of 9089 and 9096 is 82673544.