Least Common Multiple of 8319 and 8326

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 8326 the smallest integer that is 69263994 that is divisible by both numbers.

Least Common Multiple (LCM) of 8319 and 8326 is 69263994.

LCM(8319,8326) = 69263994

LCM of 8319 and 8326

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

LCM of:
and

Least Common Multiple of 8319 and 8326

LCM of 8319 and 8326 is 69263994

Least common multiple can be found by multiplying the highest exponent prime factors of 8319 and 8326. First we will calculate the prime factors of 8319 and 8326.

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 8326


2 8326
23 4163
181 181
1

Prime factors of 8326 are 2, 23,181. Prime factorization of 8326 in exponential form is:

8326 = 21×231×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 8319 and 8326.

LCM(8319,8326) = 21×31×231×471×591×1811
LCM(8319,8326) = 69263994

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 8326

List of positive integer factors of 8326 that divides 8326 without a remainder.

1, 2, 23, 46, 181, 362, 4163, 8326

Least Common Multiple of 8319 and 8326 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 8326, than apply into the LCM equation.

GCF(8319,8326) = 1
LCM(8319,8326) = ( 8319 × 8326) / 1
LCM(8319,8326) = 69263994 / 1
LCM(8319,8326) = 69263994

Properties of LCM 8319 and 8326

(i) The LCM of 8326 and 8319 is associative

LCM of 8319 and 8326 = LCM of 8326 and 8319

Related Least Common Multiples of 8319

Related Least Common Multiples of 8326

Frequently Asked Questions on LCM of 8319 and 8326

1. What is the LCM of 8319 and 8326?

Answer: LCM of 8319 and 8326 is 69263994.

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 8326?

Answer: Factors of 8326 are 1, 2, 23, 46, 181, 362, 4163, 8326. There are 8 integers that are factors of 8326. The greatest factor of 8326 is 8326.

4. How to Find the LCM of 8319 and 8326?

Answer:

Least Common Multiple of 8319 and 8326 = 69263994

Step 1: Find the prime factorization of 8319

8319 = 3 x 47 x 59

Step 2: Find the prime factorization of 8326

8326 = 2 x 23 x 181

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

LCM = 69263994 = 2 x 3 x 23 x 47 x 59 x 181

Step 4: Therefore, the least common multiple of 8319 and 8326 is 69263994.