Least Common Multiple of 9324 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 9324 and 9330 the smallest integer that is 14498820 that is divisible by both numbers.

Least Common Multiple (LCM) of 9324 and 9330 is 14498820.

LCM(9324,9330) = 14498820

LCM of 9324 and 9330

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

LCM of:
and

Least Common Multiple of 9324 and 9330

LCM of 9324 and 9330 is 14498820

Least common multiple can be found by multiplying the highest exponent prime factors of 9324 and 9330. First we will calculate the prime factors of 9324 and 9330.

Prime Factorization of 9324


2 9324
2 4662
3 2331
3 777
7 259
37 37
1

Prime factors of 9324 are 2, 3, 7,37. Prime factorization of 9324 in exponential form is:

9324 = 22×32×71×371

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 9324 and 9330.

LCM(9324,9330) = 22×32×51×71×371×3111
LCM(9324,9330) = 14498820

Factors of 9324

List of positive integer factors of 9324 that divides 9324 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 37, 42, 63, 74, 84, 111, 126, 148, 222, 252, 259, 333, 444, 518, 666, 777, 1036, 1332, 1554, 2331, 3108, 4662, 9324

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 9324 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 9324 and 9330, than apply into the LCM equation.

GCF(9324,9330) = 6
LCM(9324,9330) = ( 9324 × 9330) / 6
LCM(9324,9330) = 86992920 / 6
LCM(9324,9330) = 14498820

Properties of LCM 9324 and 9330

(i) The LCM of 9330 and 9324 is associative

LCM of 9324 and 9330 = LCM of 9330 and 9324

Related Least Common Multiples of 9324

Related Least Common Multiples of 9330

Frequently Asked Questions on LCM of 9324 and 9330

1. What is the LCM of 9324 and 9330?

Answer: LCM of 9324 and 9330 is 14498820.

2. What are the Factors of 9324?

Answer: Factors of 9324 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 37, 42, 63, 74, 84, 111, 126, 148, 222, 252, 259, 333, 444, 518, 666, 777, 1036, 1332, 1554, 2331, 3108, 4662, 9324. There are 36 integers that are factors of 9324. The greatest factor of 9324 is 9324.

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 9324 and 9330?

Answer:

Least Common Multiple of 9324 and 9330 = 14498820

Step 1: Find the prime factorization of 9324

9324 = 2 x 2 x 3 x 3 x 7 x 37

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 = 14498820 = 2 x 2 x 3 x 3 x 5 x 7 x 37 x 311

Step 4: Therefore, the least common multiple of 9324 and 9330 is 14498820.