Least Common Multiple of 7992 and 7996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7992 and 7996 the smallest integer that is 15976008 that is divisible by both numbers.

Least Common Multiple (LCM) of 7992 and 7996 is 15976008.

LCM(7992,7996) = 15976008

LCM of 7992 and 7996

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

LCM of:
and

Least Common Multiple of 7992 and 7996

LCM of 7992 and 7996 is 15976008

Least common multiple can be found by multiplying the highest exponent prime factors of 7992 and 7996. First we will calculate the prime factors of 7992 and 7996.

Prime Factorization of 7992


2 7992
2 3996
2 1998
3 999
3 333
3 111
37 37
1

Prime factors of 7992 are 2, 3,37. Prime factorization of 7992 in exponential form is:

7992 = 23×33×371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7992 and 7996.

LCM(7992,7996) = 23×33×371×19991
LCM(7992,7996) = 15976008

Factors of 7992

List of positive integer factors of 7992 that divides 7992 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 37, 54, 72, 74, 108, 111, 148, 216, 222, 296, 333, 444, 666, 888, 999, 1332, 1998, 2664, 3996, 7992

Factors of 7996

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

1, 2, 4, 1999, 3998, 7996

Least Common Multiple of 7992 and 7996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7992 and 7996, than apply into the LCM equation.

GCF(7992,7996) = 4
LCM(7992,7996) = ( 7992 × 7996) / 4
LCM(7992,7996) = 63904032 / 4
LCM(7992,7996) = 15976008

Properties of LCM 7992 and 7996

(i) The LCM of 7996 and 7992 is associative

LCM of 7992 and 7996 = LCM of 7996 and 7992

Related Least Common Multiples of 7992

Related Least Common Multiples of 7996

Frequently Asked Questions on LCM of 7992 and 7996

1. What is the LCM of 7992 and 7996?

Answer: LCM of 7992 and 7996 is 15976008.

2. What are the Factors of 7992?

Answer: Factors of 7992 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 37, 54, 72, 74, 108, 111, 148, 216, 222, 296, 333, 444, 666, 888, 999, 1332, 1998, 2664, 3996, 7992. There are 32 integers that are factors of 7992. The greatest factor of 7992 is 7992.

3. 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.

4. How to Find the LCM of 7992 and 7996?

Answer:

Least Common Multiple of 7992 and 7996 = 15976008

Step 1: Find the prime factorization of 7992

7992 = 2 x 2 x 2 x 3 x 3 x 3 x 37

Step 2: Find the prime factorization of 7996

7996 = 2 x 2 x 1999

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

LCM = 15976008 = 2 x 2 x 2 x 3 x 3 x 3 x 37 x 1999

Step 4: Therefore, the least common multiple of 7992 and 7996 is 15976008.