Least Common Multiple of 3992 and 3997

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 3997 the smallest integer that is 15956024 that is divisible by both numbers.

Least Common Multiple (LCM) of 3992 and 3997 is 15956024.

LCM(3992,3997) = 15956024

LCM of 3992 and 3997

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

LCM of:
and

Least Common Multiple of 3992 and 3997

LCM of 3992 and 3997 is 15956024

Least common multiple can be found by multiplying the highest exponent prime factors of 3992 and 3997. First we will calculate the prime factors of 3992 and 3997.

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 3997


7 3997
571 571
1

Prime factors of 3997 are 7,571. Prime factorization of 3997 in exponential form is:

3997 = 71×5711

Now multiplying the highest exponent prime factors to calculate the LCM of 3992 and 3997.

LCM(3992,3997) = 23×71×4991×5711
LCM(3992,3997) = 15956024

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 3997

List of positive integer factors of 3997 that divides 3997 without a remainder.

1, 7, 571, 3997

Least Common Multiple of 3992 and 3997 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 3997, than apply into the LCM equation.

GCF(3992,3997) = 1
LCM(3992,3997) = ( 3992 × 3997) / 1
LCM(3992,3997) = 15956024 / 1
LCM(3992,3997) = 15956024

Properties of LCM 3992 and 3997

(i) The LCM of 3997 and 3992 is associative

LCM of 3992 and 3997 = LCM of 3997 and 3992

Related Least Common Multiples of 3992

Related Least Common Multiples of 3997

Frequently Asked Questions on LCM of 3992 and 3997

1. What is the LCM of 3992 and 3997?

Answer: LCM of 3992 and 3997 is 15956024.

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 3997?

Answer: Factors of 3997 are 1, 7, 571, 3997. There are 4 integers that are factors of 3997. The greatest factor of 3997 is 3997.

4. How to Find the LCM of 3992 and 3997?

Answer:

Least Common Multiple of 3992 and 3997 = 15956024

Step 1: Find the prime factorization of 3992

3992 = 2 x 2 x 2 x 499

Step 2: Find the prime factorization of 3997

3997 = 7 x 571

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

LCM = 15956024 = 2 x 2 x 2 x 7 x 499 x 571

Step 4: Therefore, the least common multiple of 3992 and 3997 is 15956024.