Least Common Multiple of 6375 and 6382

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 6382 the smallest integer that is 40685250 that is divisible by both numbers.

Least Common Multiple (LCM) of 6375 and 6382 is 40685250.

LCM(6375,6382) = 40685250

LCM of 6375 and 6382

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

LCM of:
and

Least Common Multiple of 6375 and 6382

LCM of 6375 and 6382 is 40685250

Least common multiple can be found by multiplying the highest exponent prime factors of 6375 and 6382. First we will calculate the prime factors of 6375 and 6382.

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 6382


2 6382
3191 3191
1

Prime factors of 6382 are 2,3191. Prime factorization of 6382 in exponential form is:

6382 = 21×31911

Now multiplying the highest exponent prime factors to calculate the LCM of 6375 and 6382.

LCM(6375,6382) = 21×31×53×171×31911
LCM(6375,6382) = 40685250

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 6382

List of positive integer factors of 6382 that divides 6382 without a remainder.

1, 2, 3191, 6382

Least Common Multiple of 6375 and 6382 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 6382, than apply into the LCM equation.

GCF(6375,6382) = 1
LCM(6375,6382) = ( 6375 × 6382) / 1
LCM(6375,6382) = 40685250 / 1
LCM(6375,6382) = 40685250

Properties of LCM 6375 and 6382

(i) The LCM of 6382 and 6375 is associative

LCM of 6375 and 6382 = LCM of 6382 and 6375

Related Least Common Multiples of 6375

Related Least Common Multiples of 6382

Frequently Asked Questions on LCM of 6375 and 6382

1. What is the LCM of 6375 and 6382?

Answer: LCM of 6375 and 6382 is 40685250.

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 6382?

Answer: Factors of 6382 are 1, 2, 3191, 6382. There are 4 integers that are factors of 6382. The greatest factor of 6382 is 6382.

4. How to Find the LCM of 6375 and 6382?

Answer:

Least Common Multiple of 6375 and 6382 = 40685250

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 6382

6382 = 2 x 3191

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

LCM = 40685250 = 2 x 3 x 5 x 5 x 5 x 17 x 3191

Step 4: Therefore, the least common multiple of 6375 and 6382 is 40685250.