Least Common Multiple of 6379 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 6379 and 6383 the smallest integer that is 40717157 that is divisible by both numbers.

Least Common Multiple (LCM) of 6379 and 6383 is 40717157.

LCM(6379,6383) = 40717157

LCM of 6379 and 6383

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

LCM of:
and

Least Common Multiple of 6379 and 6383

LCM of 6379 and 6383 is 40717157

Least common multiple can be found by multiplying the highest exponent prime factors of 6379 and 6383. First we will calculate the prime factors of 6379 and 6383.

Prime Factorization of 6379


6379 6379
1

Prime factors of 6379 are 6379. Prime factorization of 6379 in exponential form is:

6379 = 63791

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 6379 and 6383.

LCM(6379,6383) = 131×4911×63791
LCM(6379,6383) = 40717157

Factors of 6379

List of positive integer factors of 6379 that divides 6379 without a remainder.

1, 6379

Factors of 6383

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

1, 13, 491, 6383

Least Common Multiple of 6379 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 6379 and 6383, than apply into the LCM equation.

GCF(6379,6383) = 1
LCM(6379,6383) = ( 6379 × 6383) / 1
LCM(6379,6383) = 40717157 / 1
LCM(6379,6383) = 40717157

Properties of LCM 6379 and 6383

(i) The LCM of 6383 and 6379 is associative

LCM of 6379 and 6383 = LCM of 6383 and 6379

Related Least Common Multiples of 6379

Related Least Common Multiples of 6383

Frequently Asked Questions on LCM of 6379 and 6383

1. What is the LCM of 6379 and 6383?

Answer: LCM of 6379 and 6383 is 40717157.

2. What are the Factors of 6379?

Answer: Factors of 6379 are 1, 6379. There are 2 integers that are factors of 6379. The greatest factor of 6379 is 6379.

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 6379 and 6383?

Answer:

Least Common Multiple of 6379 and 6383 = 40717157

Step 1: Find the prime factorization of 6379

6379 = 6379

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 = 40717157 = 13 x 491 x 6379

Step 4: Therefore, the least common multiple of 6379 and 6383 is 40717157.