Least Common Multiple of 9096 and 9103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9096 and 9103 the smallest integer that is 82800888 that is divisible by both numbers.

Least Common Multiple (LCM) of 9096 and 9103 is 82800888.

LCM(9096,9103) = 82800888

LCM of 9096 and 9103

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

LCM of:
and

Least Common Multiple of 9096 and 9103

LCM of 9096 and 9103 is 82800888

Least common multiple can be found by multiplying the highest exponent prime factors of 9096 and 9103. First we will calculate the prime factors of 9096 and 9103.

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

Prime Factorization of 9103


9103 9103
1

Prime factors of 9103 are 9103. Prime factorization of 9103 in exponential form is:

9103 = 91031

Now multiplying the highest exponent prime factors to calculate the LCM of 9096 and 9103.

LCM(9096,9103) = 23×31×3791×91031
LCM(9096,9103) = 82800888

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

Factors of 9103

List of positive integer factors of 9103 that divides 9103 without a remainder.

1, 9103

Least Common Multiple of 9096 and 9103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9096 and 9103, than apply into the LCM equation.

GCF(9096,9103) = 1
LCM(9096,9103) = ( 9096 × 9103) / 1
LCM(9096,9103) = 82800888 / 1
LCM(9096,9103) = 82800888

Properties of LCM 9096 and 9103

(i) The LCM of 9103 and 9096 is associative

LCM of 9096 and 9103 = LCM of 9103 and 9096

Related Least Common Multiples of 9096

Related Least Common Multiples of 9103

Frequently Asked Questions on LCM of 9096 and 9103

1. What is the LCM of 9096 and 9103?

Answer: LCM of 9096 and 9103 is 82800888.

2. 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.

3. What are the Factors of 9103?

Answer: Factors of 9103 are 1, 9103. There are 2 integers that are factors of 9103. The greatest factor of 9103 is 9103.

4. How to Find the LCM of 9096 and 9103?

Answer:

Least Common Multiple of 9096 and 9103 = 82800888

Step 1: Find the prime factorization of 9096

9096 = 2 x 2 x 2 x 3 x 379

Step 2: Find the prime factorization of 9103

9103 = 9103

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

LCM = 82800888 = 2 x 2 x 2 x 3 x 379 x 9103

Step 4: Therefore, the least common multiple of 9096 and 9103 is 82800888.