Least Common Multiple of 7996 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 7996 and 8004 the smallest integer that is 15999996 that is divisible by both numbers.

Least Common Multiple (LCM) of 7996 and 8004 is 15999996.

LCM(7996,8004) = 15999996

LCM of 7996 and 8004

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

LCM of:
and

Least Common Multiple of 7996 and 8004

LCM of 7996 and 8004 is 15999996

Least common multiple can be found by multiplying the highest exponent prime factors of 7996 and 8004. First we will calculate the prime factors of 7996 and 8004.

Prime Factorization of 7996


2 7996
2 3998
1999 1999
1

Prime factors of 7996 are 2,1999. Prime factorization of 7996 in exponential form is:

7996 = 22×19991

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 7996 and 8004.

LCM(7996,8004) = 22×31×231×291×19991
LCM(7996,8004) = 15999996

Factors of 7996

List of positive integer factors of 7996 that divides 7996 without a remainder.

1, 2, 4, 1999, 3998, 7996

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 7996 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 7996 and 8004, than apply into the LCM equation.

GCF(7996,8004) = 4
LCM(7996,8004) = ( 7996 × 8004) / 4
LCM(7996,8004) = 63999984 / 4
LCM(7996,8004) = 15999996

Properties of LCM 7996 and 8004

(i) The LCM of 8004 and 7996 is associative

LCM of 7996 and 8004 = LCM of 8004 and 7996

Related Least Common Multiples of 7996

Related Least Common Multiples of 8004

Frequently Asked Questions on LCM of 7996 and 8004

1. What is the LCM of 7996 and 8004?

Answer: LCM of 7996 and 8004 is 15999996.

2. What are the Factors of 7996?

Answer: Factors of 7996 are 1, 2, 4, 1999, 3998, 7996. There are 6 integers that are factors of 7996. The greatest factor of 7996 is 7996.

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 7996 and 8004?

Answer:

Least Common Multiple of 7996 and 8004 = 15999996

Step 1: Find the prime factorization of 7996

7996 = 2 x 2 x 1999

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 = 15999996 = 2 x 2 x 3 x 23 x 29 x 1999

Step 4: Therefore, the least common multiple of 7996 and 8004 is 15999996.