Least Common Multiple of 3991 and 3998

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 3998 the smallest integer that is 15956018 that is divisible by both numbers.

Least Common Multiple (LCM) of 3991 and 3998 is 15956018.

LCM(3991,3998) = 15956018

LCM of 3991 and 3998

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

LCM of:
and

Least Common Multiple of 3991 and 3998

LCM of 3991 and 3998 is 15956018

Least common multiple can be found by multiplying the highest exponent prime factors of 3991 and 3998. First we will calculate the prime factors of 3991 and 3998.

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 3998


2 3998
1999 1999
1

Prime factors of 3998 are 2,1999. Prime factorization of 3998 in exponential form is:

3998 = 21×19991

Now multiplying the highest exponent prime factors to calculate the LCM of 3991 and 3998.

LCM(3991,3998) = 21×131×3071×19991
LCM(3991,3998) = 15956018

Factors of 3991

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

1, 13, 307, 3991

Factors of 3998

List of positive integer factors of 3998 that divides 3998 without a remainder.

1, 2, 1999, 3998

Least Common Multiple of 3991 and 3998 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 3998, than apply into the LCM equation.

GCF(3991,3998) = 1
LCM(3991,3998) = ( 3991 × 3998) / 1
LCM(3991,3998) = 15956018 / 1
LCM(3991,3998) = 15956018

Properties of LCM 3991 and 3998

(i) The LCM of 3998 and 3991 is associative

LCM of 3991 and 3998 = LCM of 3998 and 3991

Related Least Common Multiples of 3991

Related Least Common Multiples of 3998

Frequently Asked Questions on LCM of 3991 and 3998

1. What is the LCM of 3991 and 3998?

Answer: LCM of 3991 and 3998 is 15956018.

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 3998?

Answer: Factors of 3998 are 1, 2, 1999, 3998. There are 4 integers that are factors of 3998. The greatest factor of 3998 is 3998.

4. How to Find the LCM of 3991 and 3998?

Answer:

Least Common Multiple of 3991 and 3998 = 15956018

Step 1: Find the prime factorization of 3991

3991 = 13 x 307

Step 2: Find the prime factorization of 3998

3998 = 2 x 1999

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

LCM = 15956018 = 2 x 13 x 307 x 1999

Step 4: Therefore, the least common multiple of 3991 and 3998 is 15956018.