Least Common Multiple of 3991 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 3991 and 3997 the smallest integer that is 15952027 that is divisible by both numbers.

Least Common Multiple (LCM) of 3991 and 3997 is 15952027.

LCM(3991,3997) = 15952027

LCM of 3991 and 3997

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

LCM of:
and

Least Common Multiple of 3991 and 3997

LCM of 3991 and 3997 is 15952027

Least common multiple can be found by multiplying the highest exponent prime factors of 3991 and 3997. First we will calculate the prime factors of 3991 and 3997.

Prime Factorization of 3991


13 3991
307 307
1

Prime factors of 3991 are 13,307. Prime factorization of 3991 in exponential form is:

3991 = 131×3071

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 3991 and 3997.

LCM(3991,3997) = 71×131×3071×5711
LCM(3991,3997) = 15952027

Factors of 3991

List of positive integer factors of 3991 that divides 3991 without a remainder.

1, 13, 307, 3991

Factors of 3997

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

1, 7, 571, 3997

Least Common Multiple of 3991 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 3991 and 3997, than apply into the LCM equation.

GCF(3991,3997) = 1
LCM(3991,3997) = ( 3991 × 3997) / 1
LCM(3991,3997) = 15952027 / 1
LCM(3991,3997) = 15952027

Properties of LCM 3991 and 3997

(i) The LCM of 3997 and 3991 is associative

LCM of 3991 and 3997 = LCM of 3997 and 3991

Related Least Common Multiples of 3991

Related Least Common Multiples of 3997

Frequently Asked Questions on LCM of 3991 and 3997

1. What is the LCM of 3991 and 3997?

Answer: LCM of 3991 and 3997 is 15952027.

2. What are the Factors of 3991?

Answer: Factors of 3991 are 1, 13, 307, 3991. There are 4 integers that are factors of 3991. The greatest factor of 3991 is 3991.

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 3991 and 3997?

Answer:

Least Common Multiple of 3991 and 3997 = 15952027

Step 1: Find the prime factorization of 3991

3991 = 13 x 307

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 = 15952027 = 7 x 13 x 307 x 571

Step 4: Therefore, the least common multiple of 3991 and 3997 is 15952027.