Least Common Multiple of 9093 and 9100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9093 and 9100 the smallest integer that is 11820900 that is divisible by both numbers.

Least Common Multiple (LCM) of 9093 and 9100 is 11820900.

LCM(9093,9100) = 11820900

LCM of 9093 and 9100

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

LCM of:
and

Least Common Multiple of 9093 and 9100

LCM of 9093 and 9100 is 11820900

Least common multiple can be found by multiplying the highest exponent prime factors of 9093 and 9100. First we will calculate the prime factors of 9093 and 9100.

Prime Factorization of 9093


3 9093
7 3031
433 433
1

Prime factors of 9093 are 3, 7,433. Prime factorization of 9093 in exponential form is:

9093 = 31×71×4331

Prime Factorization of 9100


2 9100
2 4550
5 2275
5 455
7 91
13 13
1

Prime factors of 9100 are 2, 5, 7,13. Prime factorization of 9100 in exponential form is:

9100 = 22×52×71×131

Now multiplying the highest exponent prime factors to calculate the LCM of 9093 and 9100.

LCM(9093,9100) = 22×31×52×71×131×4331
LCM(9093,9100) = 11820900

Factors of 9093

List of positive integer factors of 9093 that divides 9093 without a remainder.

1, 3, 7, 21, 433, 1299, 3031, 9093

Factors of 9100

List of positive integer factors of 9100 that divides 9100 without a remainder.

1, 2, 4, 5, 7, 10, 13, 14, 20, 25, 26, 28, 35, 50, 52, 65, 70, 91, 100, 130, 140, 175, 182, 260, 325, 350, 364, 455, 650, 700, 910, 1300, 1820, 2275, 4550, 9100

Least Common Multiple of 9093 and 9100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9093 and 9100, than apply into the LCM equation.

GCF(9093,9100) = 7
LCM(9093,9100) = ( 9093 × 9100) / 7
LCM(9093,9100) = 82746300 / 7
LCM(9093,9100) = 11820900

Properties of LCM 9093 and 9100

(i) The LCM of 9100 and 9093 is associative

LCM of 9093 and 9100 = LCM of 9100 and 9093

Related Least Common Multiples of 9093

Related Least Common Multiples of 9100

Frequently Asked Questions on LCM of 9093 and 9100

1. What is the LCM of 9093 and 9100?

Answer: LCM of 9093 and 9100 is 11820900.

2. What are the Factors of 9093?

Answer: Factors of 9093 are 1, 3, 7, 21, 433, 1299, 3031, 9093. There are 8 integers that are factors of 9093. The greatest factor of 9093 is 9093.

3. What are the Factors of 9100?

Answer: Factors of 9100 are 1, 2, 4, 5, 7, 10, 13, 14, 20, 25, 26, 28, 35, 50, 52, 65, 70, 91, 100, 130, 140, 175, 182, 260, 325, 350, 364, 455, 650, 700, 910, 1300, 1820, 2275, 4550, 9100. There are 36 integers that are factors of 9100. The greatest factor of 9100 is 9100.

4. How to Find the LCM of 9093 and 9100?

Answer:

Least Common Multiple of 9093 and 9100 = 11820900

Step 1: Find the prime factorization of 9093

9093 = 3 x 7 x 433

Step 2: Find the prime factorization of 9100

9100 = 2 x 2 x 5 x 5 x 7 x 13

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

LCM = 11820900 = 2 x 2 x 3 x 5 x 5 x 7 x 13 x 433

Step 4: Therefore, the least common multiple of 9093 and 9100 is 11820900.