Least Common Multiple of 3993 and 3999

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 3999 the smallest integer that is 5322669 that is divisible by both numbers.

Least Common Multiple (LCM) of 3993 and 3999 is 5322669.

LCM(3993,3999) = 5322669

LCM of 3993 and 3999

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

LCM of:
and

Least Common Multiple of 3993 and 3999

LCM of 3993 and 3999 is 5322669

Least common multiple can be found by multiplying the highest exponent prime factors of 3993 and 3999. First we will calculate the prime factors of 3993 and 3999.

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 3999


3 3999
31 1333
43 43
1

Prime factors of 3999 are 3, 31,43. Prime factorization of 3999 in exponential form is:

3999 = 31×311×431

Now multiplying the highest exponent prime factors to calculate the LCM of 3993 and 3999.

LCM(3993,3999) = 31×113×311×431
LCM(3993,3999) = 5322669

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 3999

List of positive integer factors of 3999 that divides 3999 without a remainder.

1, 3, 31, 43, 93, 129, 1333, 3999

Least Common Multiple of 3993 and 3999 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 3999, than apply into the LCM equation.

GCF(3993,3999) = 3
LCM(3993,3999) = ( 3993 × 3999) / 3
LCM(3993,3999) = 15968007 / 3
LCM(3993,3999) = 5322669

Properties of LCM 3993 and 3999

(i) The LCM of 3999 and 3993 is associative

LCM of 3993 and 3999 = LCM of 3999 and 3993

Related Least Common Multiples of 3993

Related Least Common Multiples of 3999

Frequently Asked Questions on LCM of 3993 and 3999

1. What is the LCM of 3993 and 3999?

Answer: LCM of 3993 and 3999 is 5322669.

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 3999?

Answer: Factors of 3999 are 1, 3, 31, 43, 93, 129, 1333, 3999. There are 8 integers that are factors of 3999. The greatest factor of 3999 is 3999.

4. How to Find the LCM of 3993 and 3999?

Answer:

Least Common Multiple of 3993 and 3999 = 5322669

Step 1: Find the prime factorization of 3993

3993 = 3 x 11 x 11 x 11

Step 2: Find the prime factorization of 3999

3999 = 3 x 31 x 43

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

LCM = 5322669 = 3 x 11 x 11 x 11 x 31 x 43

Step 4: Therefore, the least common multiple of 3993 and 3999 is 5322669.