Least Common Multiple of 3983 and 3989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3983 and 3989 the smallest integer that is 15888187 that is divisible by both numbers.

Least Common Multiple (LCM) of 3983 and 3989 is 15888187.

LCM(3983,3989) = 15888187

LCM of 3983 and 3989

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

LCM of:
and

Least Common Multiple of 3983 and 3989

LCM of 3983 and 3989 is 15888187

Least common multiple can be found by multiplying the highest exponent prime factors of 3983 and 3989. First we will calculate the prime factors of 3983 and 3989.

Prime Factorization of 3983


7 3983
569 569
1

Prime factors of 3983 are 7,569. Prime factorization of 3983 in exponential form is:

3983 = 71×5691

Prime Factorization of 3989


3989 3989
1

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

3989 = 39891

Now multiplying the highest exponent prime factors to calculate the LCM of 3983 and 3989.

LCM(3983,3989) = 71×5691×39891
LCM(3983,3989) = 15888187

Factors of 3983

List of positive integer factors of 3983 that divides 3983 without a remainder.

1, 7, 569, 3983

Factors of 3989

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

1, 3989

Least Common Multiple of 3983 and 3989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3983 and 3989, than apply into the LCM equation.

GCF(3983,3989) = 1
LCM(3983,3989) = ( 3983 × 3989) / 1
LCM(3983,3989) = 15888187 / 1
LCM(3983,3989) = 15888187

Properties of LCM 3983 and 3989

(i) The LCM of 3989 and 3983 is associative

LCM of 3983 and 3989 = LCM of 3989 and 3983

Related Least Common Multiples of 3983

Related Least Common Multiples of 3989

Frequently Asked Questions on LCM of 3983 and 3989

1. What is the LCM of 3983 and 3989?

Answer: LCM of 3983 and 3989 is 15888187.

2. What are the Factors of 3983?

Answer: Factors of 3983 are 1, 7, 569, 3983. There are 4 integers that are factors of 3983. The greatest factor of 3983 is 3983.

3. 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.

4. How to Find the LCM of 3983 and 3989?

Answer:

Least Common Multiple of 3983 and 3989 = 15888187

Step 1: Find the prime factorization of 3983

3983 = 7 x 569

Step 2: Find the prime factorization of 3989

3989 = 3989

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

LCM = 15888187 = 7 x 569 x 3989

Step 4: Therefore, the least common multiple of 3983 and 3989 is 15888187.