Least Common Multiple of 9088 and 9093

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9088 and 9093 the smallest integer that is 82637184 that is divisible by both numbers.

Least Common Multiple (LCM) of 9088 and 9093 is 82637184.

LCM(9088,9093) = 82637184

LCM of 9088 and 9093

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

LCM of:
and

Least Common Multiple of 9088 and 9093

LCM of 9088 and 9093 is 82637184

Least common multiple can be found by multiplying the highest exponent prime factors of 9088 and 9093. First we will calculate the prime factors of 9088 and 9093.

Prime Factorization of 9088


2 9088
2 4544
2 2272
2 1136
2 568
2 284
2 142
71 71
1

Prime factors of 9088 are 2,71. Prime factorization of 9088 in exponential form is:

9088 = 27×711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9088 and 9093.

LCM(9088,9093) = 27×31×71×711×4331
LCM(9088,9093) = 82637184

Factors of 9088

List of positive integer factors of 9088 that divides 9088 without a remainder.

1, 2, 4, 8, 16, 32, 64, 71, 128, 142, 284, 568, 1136, 2272, 4544, 9088

Factors of 9093

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

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

Least Common Multiple of 9088 and 9093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9088 and 9093, than apply into the LCM equation.

GCF(9088,9093) = 1
LCM(9088,9093) = ( 9088 × 9093) / 1
LCM(9088,9093) = 82637184 / 1
LCM(9088,9093) = 82637184

Properties of LCM 9088 and 9093

(i) The LCM of 9093 and 9088 is associative

LCM of 9088 and 9093 = LCM of 9093 and 9088

Related Least Common Multiples of 9088

Related Least Common Multiples of 9093

Frequently Asked Questions on LCM of 9088 and 9093

1. What is the LCM of 9088 and 9093?

Answer: LCM of 9088 and 9093 is 82637184.

2. What are the Factors of 9088?

Answer: Factors of 9088 are 1, 2, 4, 8, 16, 32, 64, 71, 128, 142, 284, 568, 1136, 2272, 4544, 9088. There are 16 integers that are factors of 9088. The greatest factor of 9088 is 9088.

3. 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.

4. How to Find the LCM of 9088 and 9093?

Answer:

Least Common Multiple of 9088 and 9093 = 82637184

Step 1: Find the prime factorization of 9088

9088 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 71

Step 2: Find the prime factorization of 9093

9093 = 3 x 7 x 433

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

LCM = 82637184 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 71 x 433

Step 4: Therefore, the least common multiple of 9088 and 9093 is 82637184.