Least Common Multiple of 9133 and 9135

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 9135 the smallest integer that is 83429955 that is divisible by both numbers.

Least Common Multiple (LCM) of 9133 and 9135 is 83429955.

LCM(9133,9135) = 83429955

LCM of 9133 and 9135

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

LCM of:
and

Least Common Multiple of 9133 and 9135

LCM of 9133 and 9135 is 83429955

Least common multiple can be found by multiplying the highest exponent prime factors of 9133 and 9135. First we will calculate the prime factors of 9133 and 9135.

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 9135


3 9135
3 3045
5 1015
7 203
29 29
1

Prime factors of 9135 are 3, 5, 7,29. Prime factorization of 9135 in exponential form is:

9135 = 32×51×71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 9133 and 9135.

LCM(9133,9135) = 32×51×71×291×91331
LCM(9133,9135) = 83429955

Factors of 9133

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

1, 9133

Factors of 9135

List of positive integer factors of 9135 that divides 9135 without a remainder.

1, 3, 5, 7, 9, 15, 21, 29, 35, 45, 63, 87, 105, 145, 203, 261, 315, 435, 609, 1015, 1305, 1827, 3045, 9135

Least Common Multiple of 9133 and 9135 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 9135, than apply into the LCM equation.

GCF(9133,9135) = 1
LCM(9133,9135) = ( 9133 × 9135) / 1
LCM(9133,9135) = 83429955 / 1
LCM(9133,9135) = 83429955

Properties of LCM 9133 and 9135

(i) The LCM of 9135 and 9133 is associative

LCM of 9133 and 9135 = LCM of 9135 and 9133

Related Least Common Multiples of 9133

Related Least Common Multiples of 9135

Frequently Asked Questions on LCM of 9133 and 9135

1. What is the LCM of 9133 and 9135?

Answer: LCM of 9133 and 9135 is 83429955.

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 9135?

Answer: Factors of 9135 are 1, 3, 5, 7, 9, 15, 21, 29, 35, 45, 63, 87, 105, 145, 203, 261, 315, 435, 609, 1015, 1305, 1827, 3045, 9135. There are 24 integers that are factors of 9135. The greatest factor of 9135 is 9135.

4. How to Find the LCM of 9133 and 9135?

Answer:

Least Common Multiple of 9133 and 9135 = 83429955

Step 1: Find the prime factorization of 9133

9133 = 9133

Step 2: Find the prime factorization of 9135

9135 = 3 x 3 x 5 x 7 x 29

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

LCM = 83429955 = 3 x 3 x 5 x 7 x 29 x 9133

Step 4: Therefore, the least common multiple of 9133 and 9135 is 83429955.