Least Common Multiple of 3992 and 3996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3992 and 3996 the smallest integer that is 3988008 that is divisible by both numbers.

Least Common Multiple (LCM) of 3992 and 3996 is 3988008.

LCM(3992,3996) = 3988008

LCM of 3992 and 3996

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

LCM of:
and

Least Common Multiple of 3992 and 3996

LCM of 3992 and 3996 is 3988008

Least common multiple can be found by multiplying the highest exponent prime factors of 3992 and 3996. First we will calculate the prime factors of 3992 and 3996.

Prime Factorization of 3992


2 3992
2 1996
2 998
499 499
1

Prime factors of 3992 are 2,499. Prime factorization of 3992 in exponential form is:

3992 = 23×4991

Prime Factorization of 3996


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

Prime factors of 3996 are 2, 3,37. Prime factorization of 3996 in exponential form is:

3996 = 22×33×371

Now multiplying the highest exponent prime factors to calculate the LCM of 3992 and 3996.

LCM(3992,3996) = 23×33×371×4991
LCM(3992,3996) = 3988008

Factors of 3992

List of positive integer factors of 3992 that divides 3992 without a remainder.

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

Factors of 3996

List of positive integer factors of 3996 that divides 3996 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 37, 54, 74, 108, 111, 148, 222, 333, 444, 666, 999, 1332, 1998, 3996

Least Common Multiple of 3992 and 3996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3992 and 3996, than apply into the LCM equation.

GCF(3992,3996) = 4
LCM(3992,3996) = ( 3992 × 3996) / 4
LCM(3992,3996) = 15952032 / 4
LCM(3992,3996) = 3988008

Properties of LCM 3992 and 3996

(i) The LCM of 3996 and 3992 is associative

LCM of 3992 and 3996 = LCM of 3996 and 3992

Related Least Common Multiples of 3992

Related Least Common Multiples of 3996

Frequently Asked Questions on LCM of 3992 and 3996

1. What is the LCM of 3992 and 3996?

Answer: LCM of 3992 and 3996 is 3988008.

2. What are the Factors of 3992?

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

3. What are the Factors of 3996?

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

4. How to Find the LCM of 3992 and 3996?

Answer:

Least Common Multiple of 3992 and 3996 = 3988008

Step 1: Find the prime factorization of 3992

3992 = 2 x 2 x 2 x 499

Step 2: Find the prime factorization of 3996

3996 = 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 = 3988008 = 2 x 2 x 2 x 3 x 3 x 3 x 37 x 499

Step 4: Therefore, the least common multiple of 3992 and 3996 is 3988008.