Least Common Multiple of 8002 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 8002 and 8008 the smallest integer that is 32040008 that is divisible by both numbers.

Least Common Multiple (LCM) of 8002 and 8008 is 32040008.

LCM(8002,8008) = 32040008

LCM of 8002 and 8008

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

LCM of:
and

Least Common Multiple of 8002 and 8008

LCM of 8002 and 8008 is 32040008

Least common multiple can be found by multiplying the highest exponent prime factors of 8002 and 8008. First we will calculate the prime factors of 8002 and 8008.

Prime Factorization of 8002


2 8002
4001 4001
1

Prime factors of 8002 are 2,4001. Prime factorization of 8002 in exponential form is:

8002 = 21×40011

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 8002 and 8008.

LCM(8002,8008) = 23×71×111×131×40011
LCM(8002,8008) = 32040008

Factors of 8002

List of positive integer factors of 8002 that divides 8002 without a remainder.

1, 2, 4001, 8002

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 8002 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 8002 and 8008, than apply into the LCM equation.

GCF(8002,8008) = 2
LCM(8002,8008) = ( 8002 × 8008) / 2
LCM(8002,8008) = 64080016 / 2
LCM(8002,8008) = 32040008

Properties of LCM 8002 and 8008

(i) The LCM of 8008 and 8002 is associative

LCM of 8002 and 8008 = LCM of 8008 and 8002

Related Least Common Multiples of 8002

Related Least Common Multiples of 8008

Frequently Asked Questions on LCM of 8002 and 8008

1. What is the LCM of 8002 and 8008?

Answer: LCM of 8002 and 8008 is 32040008.

2. What are the Factors of 8002?

Answer: Factors of 8002 are 1, 2, 4001, 8002. There are 4 integers that are factors of 8002. The greatest factor of 8002 is 8002.

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 8002 and 8008?

Answer:

Least Common Multiple of 8002 and 8008 = 32040008

Step 1: Find the prime factorization of 8002

8002 = 2 x 4001

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 = 32040008 = 2 x 2 x 2 x 7 x 11 x 13 x 4001

Step 4: Therefore, the least common multiple of 8002 and 8008 is 32040008.