Least Common Multiple of 7984 and 7992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7984 and 7992 the smallest integer that is 7976016 that is divisible by both numbers.

Least Common Multiple (LCM) of 7984 and 7992 is 7976016.

LCM(7984,7992) = 7976016

LCM of 7984 and 7992

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

LCM of:
and

Least Common Multiple of 7984 and 7992

LCM of 7984 and 7992 is 7976016

Least common multiple can be found by multiplying the highest exponent prime factors of 7984 and 7992. First we will calculate the prime factors of 7984 and 7992.

Prime Factorization of 7984


2 7984
2 3992
2 1996
2 998
499 499
1

Prime factors of 7984 are 2,499. Prime factorization of 7984 in exponential form is:

7984 = 24×4991

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7984 and 7992.

LCM(7984,7992) = 24×33×371×4991
LCM(7984,7992) = 7976016

Factors of 7984

List of positive integer factors of 7984 that divides 7984 without a remainder.

1, 2, 4, 8, 16, 499, 998, 1996, 3992, 7984

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

Least Common Multiple of 7984 and 7992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7984 and 7992, than apply into the LCM equation.

GCF(7984,7992) = 8
LCM(7984,7992) = ( 7984 × 7992) / 8
LCM(7984,7992) = 63808128 / 8
LCM(7984,7992) = 7976016

Properties of LCM 7984 and 7992

(i) The LCM of 7992 and 7984 is associative

LCM of 7984 and 7992 = LCM of 7992 and 7984

Related Least Common Multiples of 7984

Related Least Common Multiples of 7992

Frequently Asked Questions on LCM of 7984 and 7992

1. What is the LCM of 7984 and 7992?

Answer: LCM of 7984 and 7992 is 7976016.

2. What are the Factors of 7984?

Answer: Factors of 7984 are 1, 2, 4, 8, 16, 499, 998, 1996, 3992, 7984. There are 10 integers that are factors of 7984. The greatest factor of 7984 is 7984.

3. 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.

4. How to Find the LCM of 7984 and 7992?

Answer:

Least Common Multiple of 7984 and 7992 = 7976016

Step 1: Find the prime factorization of 7984

7984 = 2 x 2 x 2 x 2 x 499

Step 2: Find the prime factorization of 7992

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

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

LCM = 7976016 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 37 x 499

Step 4: Therefore, the least common multiple of 7984 and 7992 is 7976016.