Least Common Multiple of 9133 and 9134

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 9134 the smallest integer that is 83420822 that is divisible by both numbers.

Least Common Multiple (LCM) of 9133 and 9134 is 83420822.

LCM(9133,9134) = 83420822

LCM of 9133 and 9134

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

LCM of:
and

Least Common Multiple of 9133 and 9134

LCM of 9133 and 9134 is 83420822

Least common multiple can be found by multiplying the highest exponent prime factors of 9133 and 9134. First we will calculate the prime factors of 9133 and 9134.

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 9134


2 9134
4567 4567
1

Prime factors of 9134 are 2,4567. Prime factorization of 9134 in exponential form is:

9134 = 21×45671

Now multiplying the highest exponent prime factors to calculate the LCM of 9133 and 9134.

LCM(9133,9134) = 21×45671×91331
LCM(9133,9134) = 83420822

Factors of 9133

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

1, 9133

Factors of 9134

List of positive integer factors of 9134 that divides 9134 without a remainder.

1, 2, 4567, 9134

Least Common Multiple of 9133 and 9134 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 9134, than apply into the LCM equation.

GCF(9133,9134) = 1
LCM(9133,9134) = ( 9133 × 9134) / 1
LCM(9133,9134) = 83420822 / 1
LCM(9133,9134) = 83420822

Properties of LCM 9133 and 9134

(i) The LCM of 9134 and 9133 is associative

LCM of 9133 and 9134 = LCM of 9134 and 9133

Frequently Asked Questions on LCM of 9133 and 9134

1. What is the LCM of 9133 and 9134?

Answer: LCM of 9133 and 9134 is 83420822.

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 9134?

Answer: Factors of 9134 are 1, 2, 4567, 9134. There are 4 integers that are factors of 9134. The greatest factor of 9134 is 9134.

4. How to Find the LCM of 9133 and 9134?

Answer:

Least Common Multiple of 9133 and 9134 = 83420822

Step 1: Find the prime factorization of 9133

9133 = 9133

Step 2: Find the prime factorization of 9134

9134 = 2 x 4567

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

LCM = 83420822 = 2 x 4567 x 9133

Step 4: Therefore, the least common multiple of 9133 and 9134 is 83420822.