Least Common Multiple of 3993 and 4001

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3993 and 4001 the smallest integer that is 15975993 that is divisible by both numbers.

Least Common Multiple (LCM) of 3993 and 4001 is 15975993.

LCM(3993,4001) = 15975993

LCM of 3993 and 4001

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

LCM of:
and

Least Common Multiple of 3993 and 4001

LCM of 3993 and 4001 is 15975993

Least common multiple can be found by multiplying the highest exponent prime factors of 3993 and 4001. First we will calculate the prime factors of 3993 and 4001.

Prime Factorization of 3993


3 3993
11 1331
11 121
11 11
1

Prime factors of 3993 are 3,11. Prime factorization of 3993 in exponential form is:

3993 = 31×113

Prime Factorization of 4001


4001 4001
1

Prime factors of 4001 are 4001. Prime factorization of 4001 in exponential form is:

4001 = 40011

Now multiplying the highest exponent prime factors to calculate the LCM of 3993 and 4001.

LCM(3993,4001) = 31×113×40011
LCM(3993,4001) = 15975993

Factors of 3993

List of positive integer factors of 3993 that divides 3993 without a remainder.

1, 3, 11, 33, 121, 363, 1331, 3993

Factors of 4001

List of positive integer factors of 4001 that divides 4001 without a remainder.

1, 4001

Least Common Multiple of 3993 and 4001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3993 and 4001, than apply into the LCM equation.

GCF(3993,4001) = 1
LCM(3993,4001) = ( 3993 × 4001) / 1
LCM(3993,4001) = 15975993 / 1
LCM(3993,4001) = 15975993

Properties of LCM 3993 and 4001

(i) The LCM of 4001 and 3993 is associative

LCM of 3993 and 4001 = LCM of 4001 and 3993

Related Least Common Multiples of 3993

Related Least Common Multiples of 4001

Frequently Asked Questions on LCM of 3993 and 4001

1. What is the LCM of 3993 and 4001?

Answer: LCM of 3993 and 4001 is 15975993.

2. What are the Factors of 3993?

Answer: Factors of 3993 are 1, 3, 11, 33, 121, 363, 1331, 3993. There are 8 integers that are factors of 3993. The greatest factor of 3993 is 3993.

3. What are the Factors of 4001?

Answer: Factors of 4001 are 1, 4001. There are 2 integers that are factors of 4001. The greatest factor of 4001 is 4001.

4. How to Find the LCM of 3993 and 4001?

Answer:

Least Common Multiple of 3993 and 4001 = 15975993

Step 1: Find the prime factorization of 3993

3993 = 3 x 11 x 11 x 11

Step 2: Find the prime factorization of 4001

4001 = 4001

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

LCM = 15975993 = 3 x 11 x 11 x 11 x 4001

Step 4: Therefore, the least common multiple of 3993 and 4001 is 15975993.