Least Common Multiple of 82328 and 82333

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 82333 the smallest integer that is 6778311224 that is divisible by both numbers.

Least Common Multiple (LCM) of 82328 and 82333 is 6778311224.

LCM(82328,82333) = 6778311224

LCM of 82328 and 82333

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

LCM of:
and

Least Common Multiple of 82328 and 82333

LCM of 82328 and 82333 is 6778311224

Least common multiple can be found by multiplying the highest exponent prime factors of 82328 and 82333. First we will calculate the prime factors of 82328 and 82333.

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 82333


281 82333
293 293
1

Prime factors of 82333 are 281,293. Prime factorization of 82333 in exponential form is:

82333 = 2811×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 82328 and 82333.

LCM(82328,82333) = 23×411×2511×2811×2931
LCM(82328,82333) = 6778311224

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 82333

List of positive integer factors of 82333 that divides 82333 without a remainder.

1, 281, 293, 82333

Least Common Multiple of 82328 and 82333 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 82333, than apply into the LCM equation.

GCF(82328,82333) = 1
LCM(82328,82333) = ( 82328 × 82333) / 1
LCM(82328,82333) = 6778311224 / 1
LCM(82328,82333) = 6778311224

Properties of LCM 82328 and 82333

(i) The LCM of 82333 and 82328 is associative

LCM of 82328 and 82333 = LCM of 82333 and 82328

Related Least Common Multiples of 82328

Related Least Common Multiples of 82333

Frequently Asked Questions on LCM of 82328 and 82333

1. What is the LCM of 82328 and 82333?

Answer: LCM of 82328 and 82333 is 6778311224.

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 82333?

Answer: Factors of 82333 are 1, 281, 293, 82333. There are 4 integers that are factors of 82333. The greatest factor of 82333 is 82333.

4. How to Find the LCM of 82328 and 82333?

Answer:

Least Common Multiple of 82328 and 82333 = 6778311224

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 82333

82333 = 281 x 293

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

LCM = 6778311224 = 2 x 2 x 2 x 41 x 251 x 281 x 293

Step 4: Therefore, the least common multiple of 82328 and 82333 is 6778311224.