Least Common Multiple of 7993 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 7993 and 8000 the smallest integer that is 63944000 that is divisible by both numbers.

Least Common Multiple (LCM) of 7993 and 8000 is 63944000.

LCM(7993,8000) = 63944000

LCM of 7993 and 8000

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

LCM of:
and

Least Common Multiple of 7993 and 8000

LCM of 7993 and 8000 is 63944000

Least common multiple can be found by multiplying the highest exponent prime factors of 7993 and 8000. First we will calculate the prime factors of 7993 and 8000.

Prime Factorization of 7993


7993 7993
1

Prime factors of 7993 are 7993. Prime factorization of 7993 in exponential form is:

7993 = 79931

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 7993 and 8000.

LCM(7993,8000) = 26×53×79931
LCM(7993,8000) = 63944000

Factors of 7993

List of positive integer factors of 7993 that divides 7993 without a remainder.

1, 7993

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 7993 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 7993 and 8000, than apply into the LCM equation.

GCF(7993,8000) = 1
LCM(7993,8000) = ( 7993 × 8000) / 1
LCM(7993,8000) = 63944000 / 1
LCM(7993,8000) = 63944000

Properties of LCM 7993 and 8000

(i) The LCM of 8000 and 7993 is associative

LCM of 7993 and 8000 = LCM of 8000 and 7993

Related Least Common Multiples of 7993

Related Least Common Multiples of 8000

Frequently Asked Questions on LCM of 7993 and 8000

1. What is the LCM of 7993 and 8000?

Answer: LCM of 7993 and 8000 is 63944000.

2. What are the Factors of 7993?

Answer: Factors of 7993 are 1, 7993. There are 2 integers that are factors of 7993. The greatest factor of 7993 is 7993.

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 7993 and 8000?

Answer:

Least Common Multiple of 7993 and 8000 = 63944000

Step 1: Find the prime factorization of 7993

7993 = 7993

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 = 63944000 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 7993

Step 4: Therefore, the least common multiple of 7993 and 8000 is 63944000.