Least Common Multiple of 9133 and 9136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9133 and 9136 the smallest integer that is 83439088 that is divisible by both numbers.

Least Common Multiple (LCM) of 9133 and 9136 is 83439088.

LCM(9133,9136) = 83439088

LCM of 9133 and 9136

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

LCM of:
and

Least Common Multiple of 9133 and 9136

LCM of 9133 and 9136 is 83439088

Least common multiple can be found by multiplying the highest exponent prime factors of 9133 and 9136. First we will calculate the prime factors of 9133 and 9136.

Prime Factorization of 9133


9133 9133
1

Prime factors of 9133 are 9133. Prime factorization of 9133 in exponential form is:

9133 = 91331

Prime Factorization of 9136


2 9136
2 4568
2 2284
2 1142
571 571
1

Prime factors of 9136 are 2,571. Prime factorization of 9136 in exponential form is:

9136 = 24×5711

Now multiplying the highest exponent prime factors to calculate the LCM of 9133 and 9136.

LCM(9133,9136) = 24×5711×91331
LCM(9133,9136) = 83439088

Factors of 9133

List of positive integer factors of 9133 that divides 9133 without a remainder.

1, 9133

Factors of 9136

List of positive integer factors of 9136 that divides 9136 without a remainder.

1, 2, 4, 8, 16, 571, 1142, 2284, 4568, 9136

Least Common Multiple of 9133 and 9136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9133 and 9136, than apply into the LCM equation.

GCF(9133,9136) = 1
LCM(9133,9136) = ( 9133 × 9136) / 1
LCM(9133,9136) = 83439088 / 1
LCM(9133,9136) = 83439088

Properties of LCM 9133 and 9136

(i) The LCM of 9136 and 9133 is associative

LCM of 9133 and 9136 = LCM of 9136 and 9133

Related Least Common Multiples of 9133

Related Least Common Multiples of 9136

Frequently Asked Questions on LCM of 9133 and 9136

1. What is the LCM of 9133 and 9136?

Answer: LCM of 9133 and 9136 is 83439088.

2. What are the Factors of 9133?

Answer: Factors of 9133 are 1, 9133. There are 2 integers that are factors of 9133. The greatest factor of 9133 is 9133.

3. What are the Factors of 9136?

Answer: Factors of 9136 are 1, 2, 4, 8, 16, 571, 1142, 2284, 4568, 9136. There are 10 integers that are factors of 9136. The greatest factor of 9136 is 9136.

4. How to Find the LCM of 9133 and 9136?

Answer:

Least Common Multiple of 9133 and 9136 = 83439088

Step 1: Find the prime factorization of 9133

9133 = 9133

Step 2: Find the prime factorization of 9136

9136 = 2 x 2 x 2 x 2 x 571

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

LCM = 83439088 = 2 x 2 x 2 x 2 x 571 x 9133

Step 4: Therefore, the least common multiple of 9133 and 9136 is 83439088.