Least Common Multiple of 82328 and 82335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 82328 and 82335 the smallest integer that is 6778475880 that is divisible by both numbers.

Least Common Multiple (LCM) of 82328 and 82335 is 6778475880.

LCM(82328,82335) = 6778475880

LCM of 82328 and 82335

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

LCM of:
and

Least Common Multiple of 82328 and 82335

LCM of 82328 and 82335 is 6778475880

Least common multiple can be found by multiplying the highest exponent prime factors of 82328 and 82335. First we will calculate the prime factors of 82328 and 82335.

Prime Factorization of 82328


2 82328
2 41164
2 20582
41 10291
251 251
1

Prime factors of 82328 are 2, 41,251. Prime factorization of 82328 in exponential form is:

82328 = 23×411×2511

Prime Factorization of 82335


3 82335
5 27445
11 5489
499 499
1

Prime factors of 82335 are 3, 5, 11,499. Prime factorization of 82335 in exponential form is:

82335 = 31×51×111×4991

Now multiplying the highest exponent prime factors to calculate the LCM of 82328 and 82335.

LCM(82328,82335) = 23×31×51×111×411×2511×4991
LCM(82328,82335) = 6778475880

Factors of 82328

List of positive integer factors of 82328 that divides 82328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 251, 328, 502, 1004, 2008, 10291, 20582, 41164, 82328

Factors of 82335

List of positive integer factors of 82335 that divides 82335 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 499, 1497, 2495, 5489, 7485, 16467, 27445, 82335

Least Common Multiple of 82328 and 82335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82328 and 82335, than apply into the LCM equation.

GCF(82328,82335) = 1
LCM(82328,82335) = ( 82328 × 82335) / 1
LCM(82328,82335) = 6778475880 / 1
LCM(82328,82335) = 6778475880

Properties of LCM 82328 and 82335

(i) The LCM of 82335 and 82328 is associative

LCM of 82328 and 82335 = LCM of 82335 and 82328

Related Least Common Multiples of 82328

Related Least Common Multiples of 82335

Frequently Asked Questions on LCM of 82328 and 82335

1. What is the LCM of 82328 and 82335?

Answer: LCM of 82328 and 82335 is 6778475880.

2. What are the Factors of 82328?

Answer: Factors of 82328 are 1, 2, 4, 8, 41, 82, 164, 251, 328, 502, 1004, 2008, 10291, 20582, 41164, 82328. There are 16 integers that are factors of 82328. The greatest factor of 82328 is 82328.

3. What are the Factors of 82335?

Answer: Factors of 82335 are 1, 3, 5, 11, 15, 33, 55, 165, 499, 1497, 2495, 5489, 7485, 16467, 27445, 82335. There are 16 integers that are factors of 82335. The greatest factor of 82335 is 82335.

4. How to Find the LCM of 82328 and 82335?

Answer:

Least Common Multiple of 82328 and 82335 = 6778475880

Step 1: Find the prime factorization of 82328

82328 = 2 x 2 x 2 x 41 x 251

Step 2: Find the prime factorization of 82335

82335 = 3 x 5 x 11 x 499

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

LCM = 6778475880 = 2 x 2 x 2 x 3 x 5 x 11 x 41 x 251 x 499

Step 4: Therefore, the least common multiple of 82328 and 82335 is 6778475880.