Least Common Multiple of 6367 and 6375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6367 and 6375 the smallest integer that is 40589625 that is divisible by both numbers.

Least Common Multiple (LCM) of 6367 and 6375 is 40589625.

LCM(6367,6375) = 40589625

LCM of 6367 and 6375

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

LCM of:
and

Least Common Multiple of 6367 and 6375

LCM of 6367 and 6375 is 40589625

Least common multiple can be found by multiplying the highest exponent prime factors of 6367 and 6375. First we will calculate the prime factors of 6367 and 6375.

Prime Factorization of 6367


6367 6367
1

Prime factors of 6367 are 6367. Prime factorization of 6367 in exponential form is:

6367 = 63671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6367 and 6375.

LCM(6367,6375) = 31×53×171×63671
LCM(6367,6375) = 40589625

Factors of 6367

List of positive integer factors of 6367 that divides 6367 without a remainder.

1, 6367

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

Least Common Multiple of 6367 and 6375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6367 and 6375, than apply into the LCM equation.

GCF(6367,6375) = 1
LCM(6367,6375) = ( 6367 × 6375) / 1
LCM(6367,6375) = 40589625 / 1
LCM(6367,6375) = 40589625

Properties of LCM 6367 and 6375

(i) The LCM of 6375 and 6367 is associative

LCM of 6367 and 6375 = LCM of 6375 and 6367

Related Least Common Multiples of 6367

Related Least Common Multiples of 6375

Frequently Asked Questions on LCM of 6367 and 6375

1. What is the LCM of 6367 and 6375?

Answer: LCM of 6367 and 6375 is 40589625.

2. What are the Factors of 6367?

Answer: Factors of 6367 are 1, 6367. There are 2 integers that are factors of 6367. The greatest factor of 6367 is 6367.

3. 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.

4. How to Find the LCM of 6367 and 6375?

Answer:

Least Common Multiple of 6367 and 6375 = 40589625

Step 1: Find the prime factorization of 6367

6367 = 6367

Step 2: Find the prime factorization of 6375

6375 = 3 x 5 x 5 x 5 x 17

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

LCM = 40589625 = 3 x 5 x 5 x 5 x 17 x 6367

Step 4: Therefore, the least common multiple of 6367 and 6375 is 40589625.