Least Common Multiple of 8376 and 8381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8376 and 8381 the smallest integer that is 70199256 that is divisible by both numbers.

Least Common Multiple (LCM) of 8376 and 8381 is 70199256.

LCM(8376,8381) = 70199256

LCM of 8376 and 8381

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

LCM of:
and

Least Common Multiple of 8376 and 8381

LCM of 8376 and 8381 is 70199256

Least common multiple can be found by multiplying the highest exponent prime factors of 8376 and 8381. First we will calculate the prime factors of 8376 and 8381.

Prime Factorization of 8376


2 8376
2 4188
2 2094
3 1047
349 349
1

Prime factors of 8376 are 2, 3,349. Prime factorization of 8376 in exponential form is:

8376 = 23×31×3491

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8376 and 8381.

LCM(8376,8381) = 23×31×172×291×3491
LCM(8376,8381) = 70199256

Factors of 8376

List of positive integer factors of 8376 that divides 8376 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 349, 698, 1047, 1396, 2094, 2792, 4188, 8376

Factors of 8381

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

1, 17, 29, 289, 493, 8381

Least Common Multiple of 8376 and 8381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8376 and 8381, than apply into the LCM equation.

GCF(8376,8381) = 1
LCM(8376,8381) = ( 8376 × 8381) / 1
LCM(8376,8381) = 70199256 / 1
LCM(8376,8381) = 70199256

Properties of LCM 8376 and 8381

(i) The LCM of 8381 and 8376 is associative

LCM of 8376 and 8381 = LCM of 8381 and 8376

Related Least Common Multiples of 8376

Related Least Common Multiples of 8381

Frequently Asked Questions on LCM of 8376 and 8381

1. What is the LCM of 8376 and 8381?

Answer: LCM of 8376 and 8381 is 70199256.

2. What are the Factors of 8376?

Answer: Factors of 8376 are 1, 2, 3, 4, 6, 8, 12, 24, 349, 698, 1047, 1396, 2094, 2792, 4188, 8376. There are 16 integers that are factors of 8376. The greatest factor of 8376 is 8376.

3. 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.

4. How to Find the LCM of 8376 and 8381?

Answer:

Least Common Multiple of 8376 and 8381 = 70199256

Step 1: Find the prime factorization of 8376

8376 = 2 x 2 x 2 x 3 x 349

Step 2: Find the prime factorization of 8381

8381 = 17 x 17 x 29

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

LCM = 70199256 = 2 x 2 x 2 x 3 x 17 x 17 x 29 x 349

Step 4: Therefore, the least common multiple of 8376 and 8381 is 70199256.