Least Common Multiple of 3989 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 3989 and 3996 the smallest integer that is 15940044 that is divisible by both numbers.

Least Common Multiple (LCM) of 3989 and 3996 is 15940044.

LCM(3989,3996) = 15940044

LCM of 3989 and 3996

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

LCM of:
and

Least Common Multiple of 3989 and 3996

LCM of 3989 and 3996 is 15940044

Least common multiple can be found by multiplying the highest exponent prime factors of 3989 and 3996. First we will calculate the prime factors of 3989 and 3996.

Prime Factorization of 3989


3989 3989
1

Prime factors of 3989 are 3989. Prime factorization of 3989 in exponential form is:

3989 = 39891

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 3989 and 3996.

LCM(3989,3996) = 22×33×371×39891
LCM(3989,3996) = 15940044

Factors of 3989

List of positive integer factors of 3989 that divides 3989 without a remainder.

1, 3989

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 3989 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 3989 and 3996, than apply into the LCM equation.

GCF(3989,3996) = 1
LCM(3989,3996) = ( 3989 × 3996) / 1
LCM(3989,3996) = 15940044 / 1
LCM(3989,3996) = 15940044

Properties of LCM 3989 and 3996

(i) The LCM of 3996 and 3989 is associative

LCM of 3989 and 3996 = LCM of 3996 and 3989

Related Least Common Multiples of 3989

Related Least Common Multiples of 3996

Frequently Asked Questions on LCM of 3989 and 3996

1. What is the LCM of 3989 and 3996?

Answer: LCM of 3989 and 3996 is 15940044.

2. What are the Factors of 3989?

Answer: Factors of 3989 are 1, 3989. There are 2 integers that are factors of 3989. The greatest factor of 3989 is 3989.

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 3989 and 3996?

Answer:

Least Common Multiple of 3989 and 3996 = 15940044

Step 1: Find the prime factorization of 3989

3989 = 3989

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 = 15940044 = 2 x 2 x 3 x 3 x 3 x 37 x 3989

Step 4: Therefore, the least common multiple of 3989 and 3996 is 15940044.