Least Common Multiple of 7995 and 8000

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7995 and 8000 the smallest integer that is 12792000 that is divisible by both numbers.

Least Common Multiple (LCM) of 7995 and 8000 is 12792000.

LCM(7995,8000) = 12792000

LCM of 7995 and 8000

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

LCM of:
and

Least Common Multiple of 7995 and 8000

LCM of 7995 and 8000 is 12792000

Least common multiple can be found by multiplying the highest exponent prime factors of 7995 and 8000. First we will calculate the prime factors of 7995 and 8000.

Prime Factorization of 7995


3 7995
5 2665
13 533
41 41
1

Prime factors of 7995 are 3, 5, 13,41. Prime factorization of 7995 in exponential form is:

7995 = 31×51×131×411

Prime Factorization of 8000


2 8000
2 4000
2 2000
2 1000
2 500
2 250
5 125
5 25
5 5
1

Prime factors of 8000 are 2,5. Prime factorization of 8000 in exponential form is:

8000 = 26×53

Now multiplying the highest exponent prime factors to calculate the LCM of 7995 and 8000.

LCM(7995,8000) = 26×31×53×131×411
LCM(7995,8000) = 12792000

Factors of 7995

List of positive integer factors of 7995 that divides 7995 without a remainder.

1, 3, 5, 13, 15, 39, 41, 65, 123, 195, 205, 533, 615, 1599, 2665, 7995

Factors of 8000

List of positive integer factors of 8000 that divides 8000 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 800, 1000, 1600, 2000, 4000, 8000

Least Common Multiple of 7995 and 8000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7995 and 8000, than apply into the LCM equation.

GCF(7995,8000) = 5
LCM(7995,8000) = ( 7995 × 8000) / 5
LCM(7995,8000) = 63960000 / 5
LCM(7995,8000) = 12792000

Properties of LCM 7995 and 8000

(i) The LCM of 8000 and 7995 is associative

LCM of 7995 and 8000 = LCM of 8000 and 7995

Related Least Common Multiples of 7995

Related Least Common Multiples of 8000

Frequently Asked Questions on LCM of 7995 and 8000

1. What is the LCM of 7995 and 8000?

Answer: LCM of 7995 and 8000 is 12792000.

2. What are the Factors of 7995?

Answer: Factors of 7995 are 1, 3, 5, 13, 15, 39, 41, 65, 123, 195, 205, 533, 615, 1599, 2665, 7995. There are 16 integers that are factors of 7995. The greatest factor of 7995 is 7995.

3. What are the Factors of 8000?

Answer: Factors of 8000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 800, 1000, 1600, 2000, 4000, 8000. There are 28 integers that are factors of 8000. The greatest factor of 8000 is 8000.

4. How to Find the LCM of 7995 and 8000?

Answer:

Least Common Multiple of 7995 and 8000 = 12792000

Step 1: Find the prime factorization of 7995

7995 = 3 x 5 x 13 x 41

Step 2: Find the prime factorization of 8000

8000 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5

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

LCM = 12792000 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 13 x 41

Step 4: Therefore, the least common multiple of 7995 and 8000 is 12792000.