Least Common Multiple of 9318 and 9324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9318 and 9324 the smallest integer that is 14480172 that is divisible by both numbers.

Least Common Multiple (LCM) of 9318 and 9324 is 14480172.

LCM(9318,9324) = 14480172

LCM of 9318 and 9324

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

LCM of:
and

Least Common Multiple of 9318 and 9324

LCM of 9318 and 9324 is 14480172

Least common multiple can be found by multiplying the highest exponent prime factors of 9318 and 9324. First we will calculate the prime factors of 9318 and 9324.

Prime Factorization of 9318


2 9318
3 4659
1553 1553
1

Prime factors of 9318 are 2, 3,1553. Prime factorization of 9318 in exponential form is:

9318 = 21×31×15531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9318 and 9324.

LCM(9318,9324) = 22×32×71×371×15531
LCM(9318,9324) = 14480172

Factors of 9318

List of positive integer factors of 9318 that divides 9318 without a remainder.

1, 2, 3, 6, 1553, 3106, 4659, 9318

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

Least Common Multiple of 9318 and 9324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9318 and 9324, than apply into the LCM equation.

GCF(9318,9324) = 6
LCM(9318,9324) = ( 9318 × 9324) / 6
LCM(9318,9324) = 86881032 / 6
LCM(9318,9324) = 14480172

Properties of LCM 9318 and 9324

(i) The LCM of 9324 and 9318 is associative

LCM of 9318 and 9324 = LCM of 9324 and 9318

Related Least Common Multiples of 9318

Related Least Common Multiples of 9324

Frequently Asked Questions on LCM of 9318 and 9324

1. What is the LCM of 9318 and 9324?

Answer: LCM of 9318 and 9324 is 14480172.

2. What are the Factors of 9318?

Answer: Factors of 9318 are 1, 2, 3, 6, 1553, 3106, 4659, 9318. There are 8 integers that are factors of 9318. The greatest factor of 9318 is 9318.

3. 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.

4. How to Find the LCM of 9318 and 9324?

Answer:

Least Common Multiple of 9318 and 9324 = 14480172

Step 1: Find the prime factorization of 9318

9318 = 2 x 3 x 1553

Step 2: Find the prime factorization of 9324

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

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

LCM = 14480172 = 2 x 2 x 3 x 3 x 7 x 37 x 1553

Step 4: Therefore, the least common multiple of 9318 and 9324 is 14480172.