Least Common Multiple of 8000 and 8008

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8000 and 8008 the smallest integer that is 8008000 that is divisible by both numbers.

Least Common Multiple (LCM) of 8000 and 8008 is 8008000.

LCM(8000,8008) = 8008000

LCM of 8000 and 8008

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

LCM of:
and

Least Common Multiple of 8000 and 8008

LCM of 8000 and 8008 is 8008000

Least common multiple can be found by multiplying the highest exponent prime factors of 8000 and 8008. First we will calculate the prime factors of 8000 and 8008.

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

Prime Factorization of 8008


2 8008
2 4004
2 2002
7 1001
11 143
13 13
1

Prime factors of 8008 are 2, 7, 11,13. Prime factorization of 8008 in exponential form is:

8008 = 23×71×111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 8000 and 8008.

LCM(8000,8008) = 26×53×71×111×131
LCM(8000,8008) = 8008000

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

Factors of 8008

List of positive integer factors of 8008 that divides 8008 without a remainder.

1, 2, 4, 7, 8, 11, 13, 14, 22, 26, 28, 44, 52, 56, 77, 88, 91, 104, 143, 154, 182, 286, 308, 364, 572, 616, 728, 1001, 1144, 2002, 4004, 8008

Least Common Multiple of 8000 and 8008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8000 and 8008, than apply into the LCM equation.

GCF(8000,8008) = 8
LCM(8000,8008) = ( 8000 × 8008) / 8
LCM(8000,8008) = 64064000 / 8
LCM(8000,8008) = 8008000

Properties of LCM 8000 and 8008

(i) The LCM of 8008 and 8000 is associative

LCM of 8000 and 8008 = LCM of 8008 and 8000

Related Least Common Multiples of 8000

Related Least Common Multiples of 8008

Frequently Asked Questions on LCM of 8000 and 8008

1. What is the LCM of 8000 and 8008?

Answer: LCM of 8000 and 8008 is 8008000.

2. 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.

3. What are the Factors of 8008?

Answer: Factors of 8008 are 1, 2, 4, 7, 8, 11, 13, 14, 22, 26, 28, 44, 52, 56, 77, 88, 91, 104, 143, 154, 182, 286, 308, 364, 572, 616, 728, 1001, 1144, 2002, 4004, 8008. There are 32 integers that are factors of 8008. The greatest factor of 8008 is 8008.

4. How to Find the LCM of 8000 and 8008?

Answer:

Least Common Multiple of 8000 and 8008 = 8008000

Step 1: 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 2: Find the prime factorization of 8008

8008 = 2 x 2 x 2 x 7 x 11 x 13

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

LCM = 8008000 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 7 x 11 x 13

Step 4: Therefore, the least common multiple of 8000 and 8008 is 8008000.