Least Common Multiple of 82381 and 82384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 82381 and 82384 the smallest integer that is 6786876304 that is divisible by both numbers.

Least Common Multiple (LCM) of 82381 and 82384 is 6786876304.

LCM(82381,82384) = 6786876304

LCM of 82381 and 82384

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

LCM of:
and

Least Common Multiple of 82381 and 82384

LCM of 82381 and 82384 is 6786876304

Least common multiple can be found by multiplying the highest exponent prime factors of 82381 and 82384. First we will calculate the prime factors of 82381 and 82384.

Prime Factorization of 82381


13 82381
6337 6337
1

Prime factors of 82381 are 13,6337. Prime factorization of 82381 in exponential form is:

82381 = 131×63371

Prime Factorization of 82384


2 82384
2 41192
2 20596
2 10298
19 5149
271 271
1

Prime factors of 82384 are 2, 19,271. Prime factorization of 82384 in exponential form is:

82384 = 24×191×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 82381 and 82384.

LCM(82381,82384) = 24×131×191×2711×63371
LCM(82381,82384) = 6786876304

Factors of 82381

List of positive integer factors of 82381 that divides 82381 without a remainder.

1, 13, 6337, 82381

Factors of 82384

List of positive integer factors of 82384 that divides 82384 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 271, 304, 542, 1084, 2168, 4336, 5149, 10298, 20596, 41192, 82384

Least Common Multiple of 82381 and 82384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82381 and 82384, than apply into the LCM equation.

GCF(82381,82384) = 1
LCM(82381,82384) = ( 82381 × 82384) / 1
LCM(82381,82384) = 6786876304 / 1
LCM(82381,82384) = 6786876304

Properties of LCM 82381 and 82384

(i) The LCM of 82384 and 82381 is associative

LCM of 82381 and 82384 = LCM of 82384 and 82381

Related Least Common Multiples of 82381

Related Least Common Multiples of 82384

Frequently Asked Questions on LCM of 82381 and 82384

1. What is the LCM of 82381 and 82384?

Answer: LCM of 82381 and 82384 is 6786876304.

2. What are the Factors of 82381?

Answer: Factors of 82381 are 1, 13, 6337, 82381. There are 4 integers that are factors of 82381. The greatest factor of 82381 is 82381.

3. What are the Factors of 82384?

Answer: Factors of 82384 are 1, 2, 4, 8, 16, 19, 38, 76, 152, 271, 304, 542, 1084, 2168, 4336, 5149, 10298, 20596, 41192, 82384. There are 20 integers that are factors of 82384. The greatest factor of 82384 is 82384.

4. How to Find the LCM of 82381 and 82384?

Answer:

Least Common Multiple of 82381 and 82384 = 6786876304

Step 1: Find the prime factorization of 82381

82381 = 13 x 6337

Step 2: Find the prime factorization of 82384

82384 = 2 x 2 x 2 x 2 x 19 x 271

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

LCM = 6786876304 = 2 x 2 x 2 x 2 x 13 x 19 x 271 x 6337

Step 4: Therefore, the least common multiple of 82381 and 82384 is 6786876304.