Least Common Multiple of 3993 and 3996

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 3996 the smallest integer that is 5318676 that is divisible by both numbers.

Least Common Multiple (LCM) of 3993 and 3996 is 5318676.

LCM(3993,3996) = 5318676

LCM of 3993 and 3996

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

LCM of:
and

Least Common Multiple of 3993 and 3996

LCM of 3993 and 3996 is 5318676

Least common multiple can be found by multiplying the highest exponent prime factors of 3993 and 3996. First we will calculate the prime factors of 3993 and 3996.

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 3996


2 3996
2 1998
3 999
3 333
3 111
37 37
1

Prime factors of 3996 are 2, 3,37. Prime factorization of 3996 in exponential form is:

3996 = 22×33×371

Now multiplying the highest exponent prime factors to calculate the LCM of 3993 and 3996.

LCM(3993,3996) = 22×33×113×371
LCM(3993,3996) = 5318676

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 3996

List of positive integer factors of 3996 that divides 3996 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 37, 54, 74, 108, 111, 148, 222, 333, 444, 666, 999, 1332, 1998, 3996

Least Common Multiple of 3993 and 3996 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 3996, than apply into the LCM equation.

GCF(3993,3996) = 3
LCM(3993,3996) = ( 3993 × 3996) / 3
LCM(3993,3996) = 15956028 / 3
LCM(3993,3996) = 5318676

Properties of LCM 3993 and 3996

(i) The LCM of 3996 and 3993 is associative

LCM of 3993 and 3996 = LCM of 3996 and 3993

Related Least Common Multiples of 3993

Related Least Common Multiples of 3996

Frequently Asked Questions on LCM of 3993 and 3996

1. What is the LCM of 3993 and 3996?

Answer: LCM of 3993 and 3996 is 5318676.

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 3996?

Answer: Factors of 3996 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 37, 54, 74, 108, 111, 148, 222, 333, 444, 666, 999, 1332, 1998, 3996. There are 24 integers that are factors of 3996. The greatest factor of 3996 is 3996.

4. How to Find the LCM of 3993 and 3996?

Answer:

Least Common Multiple of 3993 and 3996 = 5318676

Step 1: Find the prime factorization of 3993

3993 = 3 x 11 x 11 x 11

Step 2: Find the prime factorization of 3996

3996 = 2 x 2 x 3 x 3 x 3 x 37

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

LCM = 5318676 = 2 x 2 x 3 x 3 x 3 x 11 x 11 x 11 x 37

Step 4: Therefore, the least common multiple of 3993 and 3996 is 5318676.