Least Common Multiple of 6379 and 6385

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 6385 the smallest integer that is 40729915 that is divisible by both numbers.

Least Common Multiple (LCM) of 6379 and 6385 is 40729915.

LCM(6379,6385) = 40729915

LCM of 6379 and 6385

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

LCM of:
and

Least Common Multiple of 6379 and 6385

LCM of 6379 and 6385 is 40729915

Least common multiple can be found by multiplying the highest exponent prime factors of 6379 and 6385. First we will calculate the prime factors of 6379 and 6385.

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 6385


5 6385
1277 1277
1

Prime factors of 6385 are 5,1277. Prime factorization of 6385 in exponential form is:

6385 = 51×12771

Now multiplying the highest exponent prime factors to calculate the LCM of 6379 and 6385.

LCM(6379,6385) = 51×12771×63791
LCM(6379,6385) = 40729915

Factors of 6379

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

1, 6379

Factors of 6385

List of positive integer factors of 6385 that divides 6385 without a remainder.

1, 5, 1277, 6385

Least Common Multiple of 6379 and 6385 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 6385, than apply into the LCM equation.

GCF(6379,6385) = 1
LCM(6379,6385) = ( 6379 × 6385) / 1
LCM(6379,6385) = 40729915 / 1
LCM(6379,6385) = 40729915

Properties of LCM 6379 and 6385

(i) The LCM of 6385 and 6379 is associative

LCM of 6379 and 6385 = LCM of 6385 and 6379

Frequently Asked Questions on LCM of 6379 and 6385

1. What is the LCM of 6379 and 6385?

Answer: LCM of 6379 and 6385 is 40729915.

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 6385?

Answer: Factors of 6385 are 1, 5, 1277, 6385. There are 4 integers that are factors of 6385. The greatest factor of 6385 is 6385.

4. How to Find the LCM of 6379 and 6385?

Answer:

Least Common Multiple of 6379 and 6385 = 40729915

Step 1: Find the prime factorization of 6379

6379 = 6379

Step 2: Find the prime factorization of 6385

6385 = 5 x 1277

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

LCM = 40729915 = 5 x 1277 x 6379

Step 4: Therefore, the least common multiple of 6379 and 6385 is 40729915.