Least Common Multiple of 6375 and 6380

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 6380 the smallest integer that is 8134500 that is divisible by both numbers.

Least Common Multiple (LCM) of 6375 and 6380 is 8134500.

LCM(6375,6380) = 8134500

LCM of 6375 and 6380

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

LCM of:
and

Least Common Multiple of 6375 and 6380

LCM of 6375 and 6380 is 8134500

Least common multiple can be found by multiplying the highest exponent prime factors of 6375 and 6380. First we will calculate the prime factors of 6375 and 6380.

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 6380


2 6380
2 3190
5 1595
11 319
29 29
1

Prime factors of 6380 are 2, 5, 11,29. Prime factorization of 6380 in exponential form is:

6380 = 22×51×111×291

Now multiplying the highest exponent prime factors to calculate the LCM of 6375 and 6380.

LCM(6375,6380) = 22×31×53×111×171×291
LCM(6375,6380) = 8134500

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 6380

List of positive integer factors of 6380 that divides 6380 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 29, 44, 55, 58, 110, 116, 145, 220, 290, 319, 580, 638, 1276, 1595, 3190, 6380

Least Common Multiple of 6375 and 6380 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 6380, than apply into the LCM equation.

GCF(6375,6380) = 5
LCM(6375,6380) = ( 6375 × 6380) / 5
LCM(6375,6380) = 40672500 / 5
LCM(6375,6380) = 8134500

Properties of LCM 6375 and 6380

(i) The LCM of 6380 and 6375 is associative

LCM of 6375 and 6380 = LCM of 6380 and 6375

Related Least Common Multiples of 6375

Related Least Common Multiples of 6380

Frequently Asked Questions on LCM of 6375 and 6380

1. What is the LCM of 6375 and 6380?

Answer: LCM of 6375 and 6380 is 8134500.

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 6380?

Answer: Factors of 6380 are 1, 2, 4, 5, 10, 11, 20, 22, 29, 44, 55, 58, 110, 116, 145, 220, 290, 319, 580, 638, 1276, 1595, 3190, 6380. There are 24 integers that are factors of 6380. The greatest factor of 6380 is 6380.

4. How to Find the LCM of 6375 and 6380?

Answer:

Least Common Multiple of 6375 and 6380 = 8134500

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 6380

6380 = 2 x 2 x 5 x 11 x 29

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

LCM = 8134500 = 2 x 2 x 3 x 5 x 5 x 5 x 11 x 17 x 29

Step 4: Therefore, the least common multiple of 6375 and 6380 is 8134500.