Least Common Multiple of 8328 and 8335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8328 and 8335 the smallest integer that is 69413880 that is divisible by both numbers.

Least Common Multiple (LCM) of 8328 and 8335 is 69413880.

LCM(8328,8335) = 69413880

LCM of 8328 and 8335

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

LCM of:
and

Least Common Multiple of 8328 and 8335

LCM of 8328 and 8335 is 69413880

Least common multiple can be found by multiplying the highest exponent prime factors of 8328 and 8335. First we will calculate the prime factors of 8328 and 8335.

Prime Factorization of 8328


2 8328
2 4164
2 2082
3 1041
347 347
1

Prime factors of 8328 are 2, 3,347. Prime factorization of 8328 in exponential form is:

8328 = 23×31×3471

Prime Factorization of 8335


5 8335
1667 1667
1

Prime factors of 8335 are 5,1667. Prime factorization of 8335 in exponential form is:

8335 = 51×16671

Now multiplying the highest exponent prime factors to calculate the LCM of 8328 and 8335.

LCM(8328,8335) = 23×31×51×3471×16671
LCM(8328,8335) = 69413880

Factors of 8328

List of positive integer factors of 8328 that divides 8328 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 347, 694, 1041, 1388, 2082, 2776, 4164, 8328

Factors of 8335

List of positive integer factors of 8335 that divides 8335 without a remainder.

1, 5, 1667, 8335

Least Common Multiple of 8328 and 8335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8328 and 8335, than apply into the LCM equation.

GCF(8328,8335) = 1
LCM(8328,8335) = ( 8328 × 8335) / 1
LCM(8328,8335) = 69413880 / 1
LCM(8328,8335) = 69413880

Properties of LCM 8328 and 8335

(i) The LCM of 8335 and 8328 is associative

LCM of 8328 and 8335 = LCM of 8335 and 8328

Related Least Common Multiples of 8328

Related Least Common Multiples of 8335

Frequently Asked Questions on LCM of 8328 and 8335

1. What is the LCM of 8328 and 8335?

Answer: LCM of 8328 and 8335 is 69413880.

2. What are the Factors of 8328?

Answer: Factors of 8328 are 1, 2, 3, 4, 6, 8, 12, 24, 347, 694, 1041, 1388, 2082, 2776, 4164, 8328. There are 16 integers that are factors of 8328. The greatest factor of 8328 is 8328.

3. What are the Factors of 8335?

Answer: Factors of 8335 are 1, 5, 1667, 8335. There are 4 integers that are factors of 8335. The greatest factor of 8335 is 8335.

4. How to Find the LCM of 8328 and 8335?

Answer:

Least Common Multiple of 8328 and 8335 = 69413880

Step 1: Find the prime factorization of 8328

8328 = 2 x 2 x 2 x 3 x 347

Step 2: Find the prime factorization of 8335

8335 = 5 x 1667

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

LCM = 69413880 = 2 x 2 x 2 x 3 x 5 x 347 x 1667

Step 4: Therefore, the least common multiple of 8328 and 8335 is 69413880.