Least Common Multiple of 6376 and 6383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6376 and 6383 the smallest integer that is 40698008 that is divisible by both numbers.

Least Common Multiple (LCM) of 6376 and 6383 is 40698008.

LCM(6376,6383) = 40698008

LCM of 6376 and 6383

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

LCM of:
and

Least Common Multiple of 6376 and 6383

LCM of 6376 and 6383 is 40698008

Least common multiple can be found by multiplying the highest exponent prime factors of 6376 and 6383. First we will calculate the prime factors of 6376 and 6383.

Prime Factorization of 6376


2 6376
2 3188
2 1594
797 797
1

Prime factors of 6376 are 2,797. Prime factorization of 6376 in exponential form is:

6376 = 23×7971

Prime Factorization of 6383


13 6383
491 491
1

Prime factors of 6383 are 13,491. Prime factorization of 6383 in exponential form is:

6383 = 131×4911

Now multiplying the highest exponent prime factors to calculate the LCM of 6376 and 6383.

LCM(6376,6383) = 23×131×4911×7971
LCM(6376,6383) = 40698008

Factors of 6376

List of positive integer factors of 6376 that divides 6376 without a remainder.

1, 2, 4, 8, 797, 1594, 3188, 6376

Factors of 6383

List of positive integer factors of 6383 that divides 6383 without a remainder.

1, 13, 491, 6383

Least Common Multiple of 6376 and 6383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6376 and 6383, than apply into the LCM equation.

GCF(6376,6383) = 1
LCM(6376,6383) = ( 6376 × 6383) / 1
LCM(6376,6383) = 40698008 / 1
LCM(6376,6383) = 40698008

Properties of LCM 6376 and 6383

(i) The LCM of 6383 and 6376 is associative

LCM of 6376 and 6383 = LCM of 6383 and 6376

Related Least Common Multiples of 6376

Related Least Common Multiples of 6383

Frequently Asked Questions on LCM of 6376 and 6383

1. What is the LCM of 6376 and 6383?

Answer: LCM of 6376 and 6383 is 40698008.

2. What are the Factors of 6376?

Answer: Factors of 6376 are 1, 2, 4, 8, 797, 1594, 3188, 6376. There are 8 integers that are factors of 6376. The greatest factor of 6376 is 6376.

3. What are the Factors of 6383?

Answer: Factors of 6383 are 1, 13, 491, 6383. There are 4 integers that are factors of 6383. The greatest factor of 6383 is 6383.

4. How to Find the LCM of 6376 and 6383?

Answer:

Least Common Multiple of 6376 and 6383 = 40698008

Step 1: Find the prime factorization of 6376

6376 = 2 x 2 x 2 x 797

Step 2: Find the prime factorization of 6383

6383 = 13 x 491

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

LCM = 40698008 = 2 x 2 x 2 x 13 x 491 x 797

Step 4: Therefore, the least common multiple of 6376 and 6383 is 40698008.