Least Common Multiple of 8008 and 8009

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8008 and 8009 the smallest integer that is 64136072 that is divisible by both numbers.

Least Common Multiple (LCM) of 8008 and 8009 is 64136072.

LCM(8008,8009) = 64136072

LCM of 8008 and 8009

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

LCM of:
and

Least Common Multiple of 8008 and 8009

LCM of 8008 and 8009 is 64136072

Least common multiple can be found by multiplying the highest exponent prime factors of 8008 and 8009. First we will calculate the prime factors of 8008 and 8009.

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

Prime Factorization of 8009


8009 8009
1

Prime factors of 8009 are 8009. Prime factorization of 8009 in exponential form is:

8009 = 80091

Now multiplying the highest exponent prime factors to calculate the LCM of 8008 and 8009.

LCM(8008,8009) = 23×71×111×131×80091
LCM(8008,8009) = 64136072

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

Factors of 8009

List of positive integer factors of 8009 that divides 8009 without a remainder.

1, 8009

Least Common Multiple of 8008 and 8009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8008 and 8009, than apply into the LCM equation.

GCF(8008,8009) = 1
LCM(8008,8009) = ( 8008 × 8009) / 1
LCM(8008,8009) = 64136072 / 1
LCM(8008,8009) = 64136072

Properties of LCM 8008 and 8009

(i) The LCM of 8009 and 8008 is associative

LCM of 8008 and 8009 = LCM of 8009 and 8008

Related Least Common Multiples of 8008

Related Least Common Multiples of 8009

Frequently Asked Questions on LCM of 8008 and 8009

1. What is the LCM of 8008 and 8009?

Answer: LCM of 8008 and 8009 is 64136072.

2. 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.

3. What are the Factors of 8009?

Answer: Factors of 8009 are 1, 8009. There are 2 integers that are factors of 8009. The greatest factor of 8009 is 8009.

4. How to Find the LCM of 8008 and 8009?

Answer:

Least Common Multiple of 8008 and 8009 = 64136072

Step 1: Find the prime factorization of 8008

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

Step 2: Find the prime factorization of 8009

8009 = 8009

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

LCM = 64136072 = 2 x 2 x 2 x 7 x 11 x 13 x 8009

Step 4: Therefore, the least common multiple of 8008 and 8009 is 64136072.