Least Common Multiple of 3989 and 3997

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 3997 the smallest integer that is 15944033 that is divisible by both numbers.

Least Common Multiple (LCM) of 3989 and 3997 is 15944033.

LCM(3989,3997) = 15944033

LCM of 3989 and 3997

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

LCM of:
and

Least Common Multiple of 3989 and 3997

LCM of 3989 and 3997 is 15944033

Least common multiple can be found by multiplying the highest exponent prime factors of 3989 and 3997. First we will calculate the prime factors of 3989 and 3997.

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 3997


7 3997
571 571
1

Prime factors of 3997 are 7,571. Prime factorization of 3997 in exponential form is:

3997 = 71×5711

Now multiplying the highest exponent prime factors to calculate the LCM of 3989 and 3997.

LCM(3989,3997) = 71×5711×39891
LCM(3989,3997) = 15944033

Factors of 3989

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

1, 3989

Factors of 3997

List of positive integer factors of 3997 that divides 3997 without a remainder.

1, 7, 571, 3997

Least Common Multiple of 3989 and 3997 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 3997, than apply into the LCM equation.

GCF(3989,3997) = 1
LCM(3989,3997) = ( 3989 × 3997) / 1
LCM(3989,3997) = 15944033 / 1
LCM(3989,3997) = 15944033

Properties of LCM 3989 and 3997

(i) The LCM of 3997 and 3989 is associative

LCM of 3989 and 3997 = LCM of 3997 and 3989

Related Least Common Multiples of 3989

Related Least Common Multiples of 3997

Frequently Asked Questions on LCM of 3989 and 3997

1. What is the LCM of 3989 and 3997?

Answer: LCM of 3989 and 3997 is 15944033.

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 3997?

Answer: Factors of 3997 are 1, 7, 571, 3997. There are 4 integers that are factors of 3997. The greatest factor of 3997 is 3997.

4. How to Find the LCM of 3989 and 3997?

Answer:

Least Common Multiple of 3989 and 3997 = 15944033

Step 1: Find the prime factorization of 3989

3989 = 3989

Step 2: Find the prime factorization of 3997

3997 = 7 x 571

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

LCM = 15944033 = 7 x 571 x 3989

Step 4: Therefore, the least common multiple of 3989 and 3997 is 15944033.