Least Common Multiple of 3984 and 3992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3984 and 3992 the smallest integer that is 1988016 that is divisible by both numbers.

Least Common Multiple (LCM) of 3984 and 3992 is 1988016.

LCM(3984,3992) = 1988016

LCM of 3984 and 3992

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

LCM of:
and

Least Common Multiple of 3984 and 3992

LCM of 3984 and 3992 is 1988016

Least common multiple can be found by multiplying the highest exponent prime factors of 3984 and 3992. First we will calculate the prime factors of 3984 and 3992.

Prime Factorization of 3984


2 3984
2 1992
2 996
2 498
3 249
83 83
1

Prime factors of 3984 are 2, 3,83. Prime factorization of 3984 in exponential form is:

3984 = 24×31×831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3984 and 3992.

LCM(3984,3992) = 24×31×831×4991
LCM(3984,3992) = 1988016

Factors of 3984

List of positive integer factors of 3984 that divides 3984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 83, 166, 249, 332, 498, 664, 996, 1328, 1992, 3984

Factors of 3992

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

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

Least Common Multiple of 3984 and 3992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3984 and 3992, than apply into the LCM equation.

GCF(3984,3992) = 8
LCM(3984,3992) = ( 3984 × 3992) / 8
LCM(3984,3992) = 15904128 / 8
LCM(3984,3992) = 1988016

Properties of LCM 3984 and 3992

(i) The LCM of 3992 and 3984 is associative

LCM of 3984 and 3992 = LCM of 3992 and 3984

Related Least Common Multiples of 3984

Related Least Common Multiples of 3992

Frequently Asked Questions on LCM of 3984 and 3992

1. What is the LCM of 3984 and 3992?

Answer: LCM of 3984 and 3992 is 1988016.

2. What are the Factors of 3984?

Answer: Factors of 3984 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 83, 166, 249, 332, 498, 664, 996, 1328, 1992, 3984. There are 20 integers that are factors of 3984. The greatest factor of 3984 is 3984.

3. 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.

4. How to Find the LCM of 3984 and 3992?

Answer:

Least Common Multiple of 3984 and 3992 = 1988016

Step 1: Find the prime factorization of 3984

3984 = 2 x 2 x 2 x 2 x 3 x 83

Step 2: Find the prime factorization of 3992

3992 = 2 x 2 x 2 x 499

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

LCM = 1988016 = 2 x 2 x 2 x 2 x 3 x 83 x 499

Step 4: Therefore, the least common multiple of 3984 and 3992 is 1988016.