Least Common Multiple of 8381 and 8385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8381 and 8385 the smallest integer that is 70274685 that is divisible by both numbers.

Least Common Multiple (LCM) of 8381 and 8385 is 70274685.

LCM(8381,8385) = 70274685

LCM of 8381 and 8385

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

LCM of:
and

Least Common Multiple of 8381 and 8385

LCM of 8381 and 8385 is 70274685

Least common multiple can be found by multiplying the highest exponent prime factors of 8381 and 8385. First we will calculate the prime factors of 8381 and 8385.

Prime Factorization of 8381


17 8381
17 493
29 29
1

Prime factors of 8381 are 17,29. Prime factorization of 8381 in exponential form is:

8381 = 172×291

Prime Factorization of 8385


3 8385
5 2795
13 559
43 43
1

Prime factors of 8385 are 3, 5, 13,43. Prime factorization of 8385 in exponential form is:

8385 = 31×51×131×431

Now multiplying the highest exponent prime factors to calculate the LCM of 8381 and 8385.

LCM(8381,8385) = 31×51×131×172×291×431
LCM(8381,8385) = 70274685

Factors of 8381

List of positive integer factors of 8381 that divides 8381 without a remainder.

1, 17, 29, 289, 493, 8381

Factors of 8385

List of positive integer factors of 8385 that divides 8385 without a remainder.

1, 3, 5, 13, 15, 39, 43, 65, 129, 195, 215, 559, 645, 1677, 2795, 8385

Least Common Multiple of 8381 and 8385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8381 and 8385, than apply into the LCM equation.

GCF(8381,8385) = 1
LCM(8381,8385) = ( 8381 × 8385) / 1
LCM(8381,8385) = 70274685 / 1
LCM(8381,8385) = 70274685

Properties of LCM 8381 and 8385

(i) The LCM of 8385 and 8381 is associative

LCM of 8381 and 8385 = LCM of 8385 and 8381

Related Least Common Multiples of 8381

Related Least Common Multiples of 8385

Frequently Asked Questions on LCM of 8381 and 8385

1. What is the LCM of 8381 and 8385?

Answer: LCM of 8381 and 8385 is 70274685.

2. What are the Factors of 8381?

Answer: Factors of 8381 are 1, 17, 29, 289, 493, 8381. There are 6 integers that are factors of 8381. The greatest factor of 8381 is 8381.

3. What are the Factors of 8385?

Answer: Factors of 8385 are 1, 3, 5, 13, 15, 39, 43, 65, 129, 195, 215, 559, 645, 1677, 2795, 8385. There are 16 integers that are factors of 8385. The greatest factor of 8385 is 8385.

4. How to Find the LCM of 8381 and 8385?

Answer:

Least Common Multiple of 8381 and 8385 = 70274685

Step 1: Find the prime factorization of 8381

8381 = 17 x 17 x 29

Step 2: Find the prime factorization of 8385

8385 = 3 x 5 x 13 x 43

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

LCM = 70274685 = 3 x 5 x 13 x 17 x 17 x 29 x 43

Step 4: Therefore, the least common multiple of 8381 and 8385 is 70274685.