Least Common Multiple of 6375 and 6379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6375 and 6379 the smallest integer that is 40666125 that is divisible by both numbers.

Least Common Multiple (LCM) of 6375 and 6379 is 40666125.

LCM(6375,6379) = 40666125

LCM of 6375 and 6379

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

LCM of:
and

Least Common Multiple of 6375 and 6379

LCM of 6375 and 6379 is 40666125

Least common multiple can be found by multiplying the highest exponent prime factors of 6375 and 6379. First we will calculate the prime factors of 6375 and 6379.

Prime Factorization of 6375


3 6375
5 2125
5 425
5 85
17 17
1

Prime factors of 6375 are 3, 5,17. Prime factorization of 6375 in exponential form is:

6375 = 31×53×171

Prime Factorization of 6379


6379 6379
1

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

6379 = 63791

Now multiplying the highest exponent prime factors to calculate the LCM of 6375 and 6379.

LCM(6375,6379) = 31×53×171×63791
LCM(6375,6379) = 40666125

Factors of 6375

List of positive integer factors of 6375 that divides 6375 without a remainder.

1, 3, 5, 15, 17, 25, 51, 75, 85, 125, 255, 375, 425, 1275, 2125, 6375

Factors of 6379

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

1, 6379

Least Common Multiple of 6375 and 6379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6375 and 6379, than apply into the LCM equation.

GCF(6375,6379) = 1
LCM(6375,6379) = ( 6375 × 6379) / 1
LCM(6375,6379) = 40666125 / 1
LCM(6375,6379) = 40666125

Properties of LCM 6375 and 6379

(i) The LCM of 6379 and 6375 is associative

LCM of 6375 and 6379 = LCM of 6379 and 6375

Related Least Common Multiples of 6375

Related Least Common Multiples of 6379

Frequently Asked Questions on LCM of 6375 and 6379

1. What is the LCM of 6375 and 6379?

Answer: LCM of 6375 and 6379 is 40666125.

2. What are the Factors of 6375?

Answer: Factors of 6375 are 1, 3, 5, 15, 17, 25, 51, 75, 85, 125, 255, 375, 425, 1275, 2125, 6375. There are 16 integers that are factors of 6375. The greatest factor of 6375 is 6375.

3. 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.

4. How to Find the LCM of 6375 and 6379?

Answer:

Least Common Multiple of 6375 and 6379 = 40666125

Step 1: Find the prime factorization of 6375

6375 = 3 x 5 x 5 x 5 x 17

Step 2: Find the prime factorization of 6379

6379 = 6379

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

LCM = 40666125 = 3 x 5 x 5 x 5 x 17 x 6379

Step 4: Therefore, the least common multiple of 6375 and 6379 is 40666125.