Least Common Multiple of 9323 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 9323 and 9324 the smallest integer that is 86927652 that is divisible by both numbers.

Least Common Multiple (LCM) of 9323 and 9324 is 86927652.

LCM(9323,9324) = 86927652

LCM of 9323 and 9324

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

LCM of:
and

Least Common Multiple of 9323 and 9324

LCM of 9323 and 9324 is 86927652

Least common multiple can be found by multiplying the highest exponent prime factors of 9323 and 9324. First we will calculate the prime factors of 9323 and 9324.

Prime Factorization of 9323


9323 9323
1

Prime factors of 9323 are 9323. Prime factorization of 9323 in exponential form is:

9323 = 93231

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 9323 and 9324.

LCM(9323,9324) = 22×32×71×371×93231
LCM(9323,9324) = 86927652

Factors of 9323

List of positive integer factors of 9323 that divides 9323 without a remainder.

1, 9323

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 9323 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 9323 and 9324, than apply into the LCM equation.

GCF(9323,9324) = 1
LCM(9323,9324) = ( 9323 × 9324) / 1
LCM(9323,9324) = 86927652 / 1
LCM(9323,9324) = 86927652

Properties of LCM 9323 and 9324

(i) The LCM of 9324 and 9323 is associative

LCM of 9323 and 9324 = LCM of 9324 and 9323

Related Least Common Multiples of 9323

Related Least Common Multiples of 9324

Frequently Asked Questions on LCM of 9323 and 9324

1. What is the LCM of 9323 and 9324?

Answer: LCM of 9323 and 9324 is 86927652.

2. What are the Factors of 9323?

Answer: Factors of 9323 are 1, 9323. There are 2 integers that are factors of 9323. The greatest factor of 9323 is 9323.

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 9323 and 9324?

Answer:

Least Common Multiple of 9323 and 9324 = 86927652

Step 1: Find the prime factorization of 9323

9323 = 9323

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 = 86927652 = 2 x 2 x 3 x 3 x 7 x 37 x 9323

Step 4: Therefore, the least common multiple of 9323 and 9324 is 86927652.