Least Common Multiple of 8319 and 8327

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 8327 the smallest integer that is 69272313 that is divisible by both numbers.

Least Common Multiple (LCM) of 8319 and 8327 is 69272313.

LCM(8319,8327) = 69272313

LCM of 8319 and 8327

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

LCM of:
and

Least Common Multiple of 8319 and 8327

LCM of 8319 and 8327 is 69272313

Least common multiple can be found by multiplying the highest exponent prime factors of 8319 and 8327. First we will calculate the prime factors of 8319 and 8327.

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 8327


11 8327
757 757
1

Prime factors of 8327 are 11,757. Prime factorization of 8327 in exponential form is:

8327 = 111×7571

Now multiplying the highest exponent prime factors to calculate the LCM of 8319 and 8327.

LCM(8319,8327) = 31×111×471×591×7571
LCM(8319,8327) = 69272313

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 8327

List of positive integer factors of 8327 that divides 8327 without a remainder.

1, 11, 757, 8327

Least Common Multiple of 8319 and 8327 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 8327, than apply into the LCM equation.

GCF(8319,8327) = 1
LCM(8319,8327) = ( 8319 × 8327) / 1
LCM(8319,8327) = 69272313 / 1
LCM(8319,8327) = 69272313

Properties of LCM 8319 and 8327

(i) The LCM of 8327 and 8319 is associative

LCM of 8319 and 8327 = LCM of 8327 and 8319

Related Least Common Multiples of 8319

Related Least Common Multiples of 8327

Frequently Asked Questions on LCM of 8319 and 8327

1. What is the LCM of 8319 and 8327?

Answer: LCM of 8319 and 8327 is 69272313.

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 8327?

Answer: Factors of 8327 are 1, 11, 757, 8327. There are 4 integers that are factors of 8327. The greatest factor of 8327 is 8327.

4. How to Find the LCM of 8319 and 8327?

Answer:

Least Common Multiple of 8319 and 8327 = 69272313

Step 1: Find the prime factorization of 8319

8319 = 3 x 47 x 59

Step 2: Find the prime factorization of 8327

8327 = 11 x 757

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

LCM = 69272313 = 3 x 11 x 47 x 59 x 757

Step 4: Therefore, the least common multiple of 8319 and 8327 is 69272313.