Least Common Multiple of 3987 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 3987 and 3992 the smallest integer that is 15916104 that is divisible by both numbers.

Least Common Multiple (LCM) of 3987 and 3992 is 15916104.

LCM(3987,3992) = 15916104

LCM of 3987 and 3992

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

LCM of:
and

Least Common Multiple of 3987 and 3992

LCM of 3987 and 3992 is 15916104

Least common multiple can be found by multiplying the highest exponent prime factors of 3987 and 3992. First we will calculate the prime factors of 3987 and 3992.

Prime Factorization of 3987


3 3987
3 1329
443 443
1

Prime factors of 3987 are 3,443. Prime factorization of 3987 in exponential form is:

3987 = 32×4431

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 3987 and 3992.

LCM(3987,3992) = 23×32×4431×4991
LCM(3987,3992) = 15916104

Factors of 3987

List of positive integer factors of 3987 that divides 3987 without a remainder.

1, 3, 9, 443, 1329, 3987

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 3987 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 3987 and 3992, than apply into the LCM equation.

GCF(3987,3992) = 1
LCM(3987,3992) = ( 3987 × 3992) / 1
LCM(3987,3992) = 15916104 / 1
LCM(3987,3992) = 15916104

Properties of LCM 3987 and 3992

(i) The LCM of 3992 and 3987 is associative

LCM of 3987 and 3992 = LCM of 3992 and 3987

Related Least Common Multiples of 3987

Related Least Common Multiples of 3992

Frequently Asked Questions on LCM of 3987 and 3992

1. What is the LCM of 3987 and 3992?

Answer: LCM of 3987 and 3992 is 15916104.

2. What are the Factors of 3987?

Answer: Factors of 3987 are 1, 3, 9, 443, 1329, 3987. There are 6 integers that are factors of 3987. The greatest factor of 3987 is 3987.

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 3987 and 3992?

Answer:

Least Common Multiple of 3987 and 3992 = 15916104

Step 1: Find the prime factorization of 3987

3987 = 3 x 3 x 443

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 = 15916104 = 2 x 2 x 2 x 3 x 3 x 443 x 499

Step 4: Therefore, the least common multiple of 3987 and 3992 is 15916104.