Least Common Multiple of 8381 and 8388

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 8388 the smallest integer that is 70299828 that is divisible by both numbers.

Least Common Multiple (LCM) of 8381 and 8388 is 70299828.

LCM(8381,8388) = 70299828

LCM of 8381 and 8388

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

LCM of:
and

Least Common Multiple of 8381 and 8388

LCM of 8381 and 8388 is 70299828

Least common multiple can be found by multiplying the highest exponent prime factors of 8381 and 8388. First we will calculate the prime factors of 8381 and 8388.

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 8388


2 8388
2 4194
3 2097
3 699
233 233
1

Prime factors of 8388 are 2, 3,233. Prime factorization of 8388 in exponential form is:

8388 = 22×32×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 8381 and 8388.

LCM(8381,8388) = 22×32×172×291×2331
LCM(8381,8388) = 70299828

Factors of 8381

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

1, 17, 29, 289, 493, 8381

Factors of 8388

List of positive integer factors of 8388 that divides 8388 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 233, 466, 699, 932, 1398, 2097, 2796, 4194, 8388

Least Common Multiple of 8381 and 8388 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 8388, than apply into the LCM equation.

GCF(8381,8388) = 1
LCM(8381,8388) = ( 8381 × 8388) / 1
LCM(8381,8388) = 70299828 / 1
LCM(8381,8388) = 70299828

Properties of LCM 8381 and 8388

(i) The LCM of 8388 and 8381 is associative

LCM of 8381 and 8388 = LCM of 8388 and 8381

Related Least Common Multiples of 8381

Related Least Common Multiples of 8388

Frequently Asked Questions on LCM of 8381 and 8388

1. What is the LCM of 8381 and 8388?

Answer: LCM of 8381 and 8388 is 70299828.

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 8388?

Answer: Factors of 8388 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 233, 466, 699, 932, 1398, 2097, 2796, 4194, 8388. There are 18 integers that are factors of 8388. The greatest factor of 8388 is 8388.

4. How to Find the LCM of 8381 and 8388?

Answer:

Least Common Multiple of 8381 and 8388 = 70299828

Step 1: Find the prime factorization of 8381

8381 = 17 x 17 x 29

Step 2: Find the prime factorization of 8388

8388 = 2 x 2 x 3 x 3 x 233

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

LCM = 70299828 = 2 x 2 x 3 x 3 x 17 x 17 x 29 x 233

Step 4: Therefore, the least common multiple of 8381 and 8388 is 70299828.