Least Common Multiple of 8319 and 8324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8319 and 8324 the smallest integer that is 69247356 that is divisible by both numbers.

Least Common Multiple (LCM) of 8319 and 8324 is 69247356.

LCM(8319,8324) = 69247356

LCM of 8319 and 8324

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

LCM of:
and

Least Common Multiple of 8319 and 8324

LCM of 8319 and 8324 is 69247356

Least common multiple can be found by multiplying the highest exponent prime factors of 8319 and 8324. First we will calculate the prime factors of 8319 and 8324.

Prime Factorization of 8319


3 8319
47 2773
59 59
1

Prime factors of 8319 are 3, 47,59. Prime factorization of 8319 in exponential form is:

8319 = 31×471×591

Prime Factorization of 8324


2 8324
2 4162
2081 2081
1

Prime factors of 8324 are 2,2081. Prime factorization of 8324 in exponential form is:

8324 = 22×20811

Now multiplying the highest exponent prime factors to calculate the LCM of 8319 and 8324.

LCM(8319,8324) = 22×31×471×591×20811
LCM(8319,8324) = 69247356

Factors of 8319

List of positive integer factors of 8319 that divides 8319 without a remainder.

1, 3, 47, 59, 141, 177, 2773, 8319

Factors of 8324

List of positive integer factors of 8324 that divides 8324 without a remainder.

1, 2, 4, 2081, 4162, 8324

Least Common Multiple of 8319 and 8324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8319 and 8324, than apply into the LCM equation.

GCF(8319,8324) = 1
LCM(8319,8324) = ( 8319 × 8324) / 1
LCM(8319,8324) = 69247356 / 1
LCM(8319,8324) = 69247356

Properties of LCM 8319 and 8324

(i) The LCM of 8324 and 8319 is associative

LCM of 8319 and 8324 = LCM of 8324 and 8319

Related Least Common Multiples of 8319

Related Least Common Multiples of 8324

Frequently Asked Questions on LCM of 8319 and 8324

1. What is the LCM of 8319 and 8324?

Answer: LCM of 8319 and 8324 is 69247356.

2. What are the Factors of 8319?

Answer: Factors of 8319 are 1, 3, 47, 59, 141, 177, 2773, 8319. There are 8 integers that are factors of 8319. The greatest factor of 8319 is 8319.

3. What are the Factors of 8324?

Answer: Factors of 8324 are 1, 2, 4, 2081, 4162, 8324. There are 6 integers that are factors of 8324. The greatest factor of 8324 is 8324.

4. How to Find the LCM of 8319 and 8324?

Answer:

Least Common Multiple of 8319 and 8324 = 69247356

Step 1: Find the prime factorization of 8319

8319 = 3 x 47 x 59

Step 2: Find the prime factorization of 8324

8324 = 2 x 2 x 2081

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

LCM = 69247356 = 2 x 2 x 3 x 47 x 59 x 2081

Step 4: Therefore, the least common multiple of 8319 and 8324 is 69247356.