Least Common Multiple of 9329 and 9330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9329 and 9330 the smallest integer that is 87039570 that is divisible by both numbers.

Least Common Multiple (LCM) of 9329 and 9330 is 87039570.

LCM(9329,9330) = 87039570

LCM of 9329 and 9330

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

LCM of:
and

Least Common Multiple of 9329 and 9330

LCM of 9329 and 9330 is 87039570

Least common multiple can be found by multiplying the highest exponent prime factors of 9329 and 9330. First we will calculate the prime factors of 9329 and 9330.

Prime Factorization of 9329


19 9329
491 491
1

Prime factors of 9329 are 19,491. Prime factorization of 9329 in exponential form is:

9329 = 191×4911

Prime Factorization of 9330


2 9330
3 4665
5 1555
311 311
1

Prime factors of 9330 are 2, 3, 5,311. Prime factorization of 9330 in exponential form is:

9330 = 21×31×51×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 9329 and 9330.

LCM(9329,9330) = 21×31×51×191×3111×4911
LCM(9329,9330) = 87039570

Factors of 9329

List of positive integer factors of 9329 that divides 9329 without a remainder.

1, 19, 491, 9329

Factors of 9330

List of positive integer factors of 9330 that divides 9330 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 311, 622, 933, 1555, 1866, 3110, 4665, 9330

Least Common Multiple of 9329 and 9330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9329 and 9330, than apply into the LCM equation.

GCF(9329,9330) = 1
LCM(9329,9330) = ( 9329 × 9330) / 1
LCM(9329,9330) = 87039570 / 1
LCM(9329,9330) = 87039570

Properties of LCM 9329 and 9330

(i) The LCM of 9330 and 9329 is associative

LCM of 9329 and 9330 = LCM of 9330 and 9329

Related Least Common Multiples of 9329

Related Least Common Multiples of 9330

Frequently Asked Questions on LCM of 9329 and 9330

1. What is the LCM of 9329 and 9330?

Answer: LCM of 9329 and 9330 is 87039570.

2. What are the Factors of 9329?

Answer: Factors of 9329 are 1, 19, 491, 9329. There are 4 integers that are factors of 9329. The greatest factor of 9329 is 9329.

3. What are the Factors of 9330?

Answer: Factors of 9330 are 1, 2, 3, 5, 6, 10, 15, 30, 311, 622, 933, 1555, 1866, 3110, 4665, 9330. There are 16 integers that are factors of 9330. The greatest factor of 9330 is 9330.

4. How to Find the LCM of 9329 and 9330?

Answer:

Least Common Multiple of 9329 and 9330 = 87039570

Step 1: Find the prime factorization of 9329

9329 = 19 x 491

Step 2: Find the prime factorization of 9330

9330 = 2 x 3 x 5 x 311

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

LCM = 87039570 = 2 x 3 x 5 x 19 x 311 x 491

Step 4: Therefore, the least common multiple of 9329 and 9330 is 87039570.