Least Common Multiple of 9128 and 9133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9128 and 9133 the smallest integer that is 83366024 that is divisible by both numbers.

Least Common Multiple (LCM) of 9128 and 9133 is 83366024.

LCM(9128,9133) = 83366024

LCM of 9128 and 9133

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

LCM of:
and

Least Common Multiple of 9128 and 9133

LCM of 9128 and 9133 is 83366024

Least common multiple can be found by multiplying the highest exponent prime factors of 9128 and 9133. First we will calculate the prime factors of 9128 and 9133.

Prime Factorization of 9128


2 9128
2 4564
2 2282
7 1141
163 163
1

Prime factors of 9128 are 2, 7,163. Prime factorization of 9128 in exponential form is:

9128 = 23×71×1631

Prime Factorization of 9133


9133 9133
1

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

9133 = 91331

Now multiplying the highest exponent prime factors to calculate the LCM of 9128 and 9133.

LCM(9128,9133) = 23×71×1631×91331
LCM(9128,9133) = 83366024

Factors of 9128

List of positive integer factors of 9128 that divides 9128 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 163, 326, 652, 1141, 1304, 2282, 4564, 9128

Factors of 9133

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

1, 9133

Least Common Multiple of 9128 and 9133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9128 and 9133, than apply into the LCM equation.

GCF(9128,9133) = 1
LCM(9128,9133) = ( 9128 × 9133) / 1
LCM(9128,9133) = 83366024 / 1
LCM(9128,9133) = 83366024

Properties of LCM 9128 and 9133

(i) The LCM of 9133 and 9128 is associative

LCM of 9128 and 9133 = LCM of 9133 and 9128

Related Least Common Multiples of 9128

Related Least Common Multiples of 9133

Frequently Asked Questions on LCM of 9128 and 9133

1. What is the LCM of 9128 and 9133?

Answer: LCM of 9128 and 9133 is 83366024.

2. What are the Factors of 9128?

Answer: Factors of 9128 are 1, 2, 4, 7, 8, 14, 28, 56, 163, 326, 652, 1141, 1304, 2282, 4564, 9128. There are 16 integers that are factors of 9128. The greatest factor of 9128 is 9128.

3. 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.

4. How to Find the LCM of 9128 and 9133?

Answer:

Least Common Multiple of 9128 and 9133 = 83366024

Step 1: Find the prime factorization of 9128

9128 = 2 x 2 x 2 x 7 x 163

Step 2: Find the prime factorization of 9133

9133 = 9133

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

LCM = 83366024 = 2 x 2 x 2 x 7 x 163 x 9133

Step 4: Therefore, the least common multiple of 9128 and 9133 is 83366024.