Least Common Multiple of 8003 and 8004

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8003 and 8004 the smallest integer that is 64056012 that is divisible by both numbers.

Least Common Multiple (LCM) of 8003 and 8004 is 64056012.

LCM(8003,8004) = 64056012

LCM of 8003 and 8004

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

LCM of:
and

Least Common Multiple of 8003 and 8004

LCM of 8003 and 8004 is 64056012

Least common multiple can be found by multiplying the highest exponent prime factors of 8003 and 8004. First we will calculate the prime factors of 8003 and 8004.

Prime Factorization of 8003


53 8003
151 151
1

Prime factors of 8003 are 53,151. Prime factorization of 8003 in exponential form is:

8003 = 531×1511

Prime Factorization of 8004


2 8004
2 4002
3 2001
23 667
29 29
1

Prime factors of 8004 are 2, 3, 23,29. Prime factorization of 8004 in exponential form is:

8004 = 22×31×231×291

Now multiplying the highest exponent prime factors to calculate the LCM of 8003 and 8004.

LCM(8003,8004) = 22×31×231×291×531×1511
LCM(8003,8004) = 64056012

Factors of 8003

List of positive integer factors of 8003 that divides 8003 without a remainder.

1, 53, 151, 8003

Factors of 8004

List of positive integer factors of 8004 that divides 8004 without a remainder.

1, 2, 3, 4, 6, 12, 23, 29, 46, 58, 69, 87, 92, 116, 138, 174, 276, 348, 667, 1334, 2001, 2668, 4002, 8004

Least Common Multiple of 8003 and 8004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8003 and 8004, than apply into the LCM equation.

GCF(8003,8004) = 1
LCM(8003,8004) = ( 8003 × 8004) / 1
LCM(8003,8004) = 64056012 / 1
LCM(8003,8004) = 64056012

Properties of LCM 8003 and 8004

(i) The LCM of 8004 and 8003 is associative

LCM of 8003 and 8004 = LCM of 8004 and 8003

Related Least Common Multiples of 8003

Related Least Common Multiples of 8004

Frequently Asked Questions on LCM of 8003 and 8004

1. What is the LCM of 8003 and 8004?

Answer: LCM of 8003 and 8004 is 64056012.

2. What are the Factors of 8003?

Answer: Factors of 8003 are 1, 53, 151, 8003. There are 4 integers that are factors of 8003. The greatest factor of 8003 is 8003.

3. What are the Factors of 8004?

Answer: Factors of 8004 are 1, 2, 3, 4, 6, 12, 23, 29, 46, 58, 69, 87, 92, 116, 138, 174, 276, 348, 667, 1334, 2001, 2668, 4002, 8004. There are 24 integers that are factors of 8004. The greatest factor of 8004 is 8004.

4. How to Find the LCM of 8003 and 8004?

Answer:

Least Common Multiple of 8003 and 8004 = 64056012

Step 1: Find the prime factorization of 8003

8003 = 53 x 151

Step 2: Find the prime factorization of 8004

8004 = 2 x 2 x 3 x 23 x 29

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

LCM = 64056012 = 2 x 2 x 3 x 23 x 29 x 53 x 151

Step 4: Therefore, the least common multiple of 8003 and 8004 is 64056012.