Least Common Multiple of 3992 and 3998

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 3998 the smallest integer that is 7980008 that is divisible by both numbers.

Least Common Multiple (LCM) of 3992 and 3998 is 7980008.

LCM(3992,3998) = 7980008

LCM of 3992 and 3998

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

LCM of:
and

Least Common Multiple of 3992 and 3998

LCM of 3992 and 3998 is 7980008

Least common multiple can be found by multiplying the highest exponent prime factors of 3992 and 3998. First we will calculate the prime factors of 3992 and 3998.

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 3998


2 3998
1999 1999
1

Prime factors of 3998 are 2,1999. Prime factorization of 3998 in exponential form is:

3998 = 21×19991

Now multiplying the highest exponent prime factors to calculate the LCM of 3992 and 3998.

LCM(3992,3998) = 23×4991×19991
LCM(3992,3998) = 7980008

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 3998

List of positive integer factors of 3998 that divides 3998 without a remainder.

1, 2, 1999, 3998

Least Common Multiple of 3992 and 3998 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 3998, than apply into the LCM equation.

GCF(3992,3998) = 2
LCM(3992,3998) = ( 3992 × 3998) / 2
LCM(3992,3998) = 15960016 / 2
LCM(3992,3998) = 7980008

Properties of LCM 3992 and 3998

(i) The LCM of 3998 and 3992 is associative

LCM of 3992 and 3998 = LCM of 3998 and 3992

Related Least Common Multiples of 3992

Related Least Common Multiples of 3998

Frequently Asked Questions on LCM of 3992 and 3998

1. What is the LCM of 3992 and 3998?

Answer: LCM of 3992 and 3998 is 7980008.

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 3998?

Answer: Factors of 3998 are 1, 2, 1999, 3998. There are 4 integers that are factors of 3998. The greatest factor of 3998 is 3998.

4. How to Find the LCM of 3992 and 3998?

Answer:

Least Common Multiple of 3992 and 3998 = 7980008

Step 1: Find the prime factorization of 3992

3992 = 2 x 2 x 2 x 499

Step 2: Find the prime factorization of 3998

3998 = 2 x 1999

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

LCM = 7980008 = 2 x 2 x 2 x 499 x 1999

Step 4: Therefore, the least common multiple of 3992 and 3998 is 7980008.