Least Common Multiple of 3995 and 4001

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3995 and 4001 the smallest integer that is 15983995 that is divisible by both numbers.

Least Common Multiple (LCM) of 3995 and 4001 is 15983995.

LCM(3995,4001) = 15983995

LCM of 3995 and 4001

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

LCM of:
and

Least Common Multiple of 3995 and 4001

LCM of 3995 and 4001 is 15983995

Least common multiple can be found by multiplying the highest exponent prime factors of 3995 and 4001. First we will calculate the prime factors of 3995 and 4001.

Prime Factorization of 3995


5 3995
17 799
47 47
1

Prime factors of 3995 are 5, 17,47. Prime factorization of 3995 in exponential form is:

3995 = 51×171×471

Prime Factorization of 4001


4001 4001
1

Prime factors of 4001 are 4001. Prime factorization of 4001 in exponential form is:

4001 = 40011

Now multiplying the highest exponent prime factors to calculate the LCM of 3995 and 4001.

LCM(3995,4001) = 51×171×471×40011
LCM(3995,4001) = 15983995

Factors of 3995

List of positive integer factors of 3995 that divides 3995 without a remainder.

1, 5, 17, 47, 85, 235, 799, 3995

Factors of 4001

List of positive integer factors of 4001 that divides 4001 without a remainder.

1, 4001

Least Common Multiple of 3995 and 4001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3995 and 4001, than apply into the LCM equation.

GCF(3995,4001) = 1
LCM(3995,4001) = ( 3995 × 4001) / 1
LCM(3995,4001) = 15983995 / 1
LCM(3995,4001) = 15983995

Properties of LCM 3995 and 4001

(i) The LCM of 4001 and 3995 is associative

LCM of 3995 and 4001 = LCM of 4001 and 3995

Related Least Common Multiples of 3995

Related Least Common Multiples of 4001

Frequently Asked Questions on LCM of 3995 and 4001

1. What is the LCM of 3995 and 4001?

Answer: LCM of 3995 and 4001 is 15983995.

2. What are the Factors of 3995?

Answer: Factors of 3995 are 1, 5, 17, 47, 85, 235, 799, 3995. There are 8 integers that are factors of 3995. The greatest factor of 3995 is 3995.

3. What are the Factors of 4001?

Answer: Factors of 4001 are 1, 4001. There are 2 integers that are factors of 4001. The greatest factor of 4001 is 4001.

4. How to Find the LCM of 3995 and 4001?

Answer:

Least Common Multiple of 3995 and 4001 = 15983995

Step 1: Find the prime factorization of 3995

3995 = 5 x 17 x 47

Step 2: Find the prime factorization of 4001

4001 = 4001

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

LCM = 15983995 = 5 x 17 x 47 x 4001

Step 4: Therefore, the least common multiple of 3995 and 4001 is 15983995.