Least Common Multiple of 8327 and 8334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8327 and 8334 the smallest integer that is 69397218 that is divisible by both numbers.

Least Common Multiple (LCM) of 8327 and 8334 is 69397218.

LCM(8327,8334) = 69397218

LCM of 8327 and 8334

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

LCM of:
and

Least Common Multiple of 8327 and 8334

LCM of 8327 and 8334 is 69397218

Least common multiple can be found by multiplying the highest exponent prime factors of 8327 and 8334. First we will calculate the prime factors of 8327 and 8334.

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

Prime Factorization of 8334


2 8334
3 4167
3 1389
463 463
1

Prime factors of 8334 are 2, 3,463. Prime factorization of 8334 in exponential form is:

8334 = 21×32×4631

Now multiplying the highest exponent prime factors to calculate the LCM of 8327 and 8334.

LCM(8327,8334) = 21×32×111×4631×7571
LCM(8327,8334) = 69397218

Factors of 8327

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

1, 11, 757, 8327

Factors of 8334

List of positive integer factors of 8334 that divides 8334 without a remainder.

1, 2, 3, 6, 9, 18, 463, 926, 1389, 2778, 4167, 8334

Least Common Multiple of 8327 and 8334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8327 and 8334, than apply into the LCM equation.

GCF(8327,8334) = 1
LCM(8327,8334) = ( 8327 × 8334) / 1
LCM(8327,8334) = 69397218 / 1
LCM(8327,8334) = 69397218

Properties of LCM 8327 and 8334

(i) The LCM of 8334 and 8327 is associative

LCM of 8327 and 8334 = LCM of 8334 and 8327

Related Least Common Multiples of 8327

Related Least Common Multiples of 8334

Frequently Asked Questions on LCM of 8327 and 8334

1. What is the LCM of 8327 and 8334?

Answer: LCM of 8327 and 8334 is 69397218.

2. 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.

3. What are the Factors of 8334?

Answer: Factors of 8334 are 1, 2, 3, 6, 9, 18, 463, 926, 1389, 2778, 4167, 8334. There are 12 integers that are factors of 8334. The greatest factor of 8334 is 8334.

4. How to Find the LCM of 8327 and 8334?

Answer:

Least Common Multiple of 8327 and 8334 = 69397218

Step 1: Find the prime factorization of 8327

8327 = 11 x 757

Step 2: Find the prime factorization of 8334

8334 = 2 x 3 x 3 x 463

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

LCM = 69397218 = 2 x 3 x 3 x 11 x 463 x 757

Step 4: Therefore, the least common multiple of 8327 and 8334 is 69397218.