Least Common Multiple of 4376 and 4381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4376 and 4381 the smallest integer that is 19171256 that is divisible by both numbers.

Least Common Multiple (LCM) of 4376 and 4381 is 19171256.

LCM(4376,4381) = 19171256

LCM of 4376 and 4381

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

LCM of:
and

Least Common Multiple of 4376 and 4381

LCM of 4376 and 4381 is 19171256

Least common multiple can be found by multiplying the highest exponent prime factors of 4376 and 4381. First we will calculate the prime factors of 4376 and 4381.

Prime Factorization of 4376


2 4376
2 2188
2 1094
547 547
1

Prime factors of 4376 are 2,547. Prime factorization of 4376 in exponential form is:

4376 = 23×5471

Prime Factorization of 4381


13 4381
337 337
1

Prime factors of 4381 are 13,337. Prime factorization of 4381 in exponential form is:

4381 = 131×3371

Now multiplying the highest exponent prime factors to calculate the LCM of 4376 and 4381.

LCM(4376,4381) = 23×131×3371×5471
LCM(4376,4381) = 19171256

Factors of 4376

List of positive integer factors of 4376 that divides 4376 without a remainder.

1, 2, 4, 8, 547, 1094, 2188, 4376

Factors of 4381

List of positive integer factors of 4381 that divides 4381 without a remainder.

1, 13, 337, 4381

Least Common Multiple of 4376 and 4381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4376 and 4381, than apply into the LCM equation.

GCF(4376,4381) = 1
LCM(4376,4381) = ( 4376 × 4381) / 1
LCM(4376,4381) = 19171256 / 1
LCM(4376,4381) = 19171256

Properties of LCM 4376 and 4381

(i) The LCM of 4381 and 4376 is associative

LCM of 4376 and 4381 = LCM of 4381 and 4376

Related Least Common Multiples of 4376

Related Least Common Multiples of 4381

Frequently Asked Questions on LCM of 4376 and 4381

1. What is the LCM of 4376 and 4381?

Answer: LCM of 4376 and 4381 is 19171256.

2. What are the Factors of 4376?

Answer: Factors of 4376 are 1, 2, 4, 8, 547, 1094, 2188, 4376. There are 8 integers that are factors of 4376. The greatest factor of 4376 is 4376.

3. What are the Factors of 4381?

Answer: Factors of 4381 are 1, 13, 337, 4381. There are 4 integers that are factors of 4381. The greatest factor of 4381 is 4381.

4. How to Find the LCM of 4376 and 4381?

Answer:

Least Common Multiple of 4376 and 4381 = 19171256

Step 1: Find the prime factorization of 4376

4376 = 2 x 2 x 2 x 547

Step 2: Find the prime factorization of 4381

4381 = 13 x 337

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

LCM = 19171256 = 2 x 2 x 2 x 13 x 337 x 547

Step 4: Therefore, the least common multiple of 4376 and 4381 is 19171256.