Least Common Multiple of 3998 and 4003

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3998 and 4003 the smallest integer that is 16003994 that is divisible by both numbers.

Least Common Multiple (LCM) of 3998 and 4003 is 16003994.

LCM(3998,4003) = 16003994

LCM of 3998 and 4003

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

LCM of:
and

Least Common Multiple of 3998 and 4003

LCM of 3998 and 4003 is 16003994

Least common multiple can be found by multiplying the highest exponent prime factors of 3998 and 4003. First we will calculate the prime factors of 3998 and 4003.

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

Prime Factorization of 4003


4003 4003
1

Prime factors of 4003 are 4003. Prime factorization of 4003 in exponential form is:

4003 = 40031

Now multiplying the highest exponent prime factors to calculate the LCM of 3998 and 4003.

LCM(3998,4003) = 21×19991×40031
LCM(3998,4003) = 16003994

Factors of 3998

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

1, 2, 1999, 3998

Factors of 4003

List of positive integer factors of 4003 that divides 4003 without a remainder.

1, 4003

Least Common Multiple of 3998 and 4003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3998 and 4003, than apply into the LCM equation.

GCF(3998,4003) = 1
LCM(3998,4003) = ( 3998 × 4003) / 1
LCM(3998,4003) = 16003994 / 1
LCM(3998,4003) = 16003994

Properties of LCM 3998 and 4003

(i) The LCM of 4003 and 3998 is associative

LCM of 3998 and 4003 = LCM of 4003 and 3998

Related Least Common Multiples of 3998

Related Least Common Multiples of 4003

Frequently Asked Questions on LCM of 3998 and 4003

1. What is the LCM of 3998 and 4003?

Answer: LCM of 3998 and 4003 is 16003994.

2. 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.

3. What are the Factors of 4003?

Answer: Factors of 4003 are 1, 4003. There are 2 integers that are factors of 4003. The greatest factor of 4003 is 4003.

4. How to Find the LCM of 3998 and 4003?

Answer:

Least Common Multiple of 3998 and 4003 = 16003994

Step 1: Find the prime factorization of 3998

3998 = 2 x 1999

Step 2: Find the prime factorization of 4003

4003 = 4003

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

LCM = 16003994 = 2 x 1999 x 4003

Step 4: Therefore, the least common multiple of 3998 and 4003 is 16003994.