Least Common Multiple of 3995 and 4002

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 4002 the smallest integer that is 15987990 that is divisible by both numbers.

Least Common Multiple (LCM) of 3995 and 4002 is 15987990.

LCM(3995,4002) = 15987990

LCM of 3995 and 4002

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

LCM of:
and

Least Common Multiple of 3995 and 4002

LCM of 3995 and 4002 is 15987990

Least common multiple can be found by multiplying the highest exponent prime factors of 3995 and 4002. First we will calculate the prime factors of 3995 and 4002.

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 4002


2 4002
3 2001
23 667
29 29
1

Prime factors of 4002 are 2, 3, 23,29. Prime factorization of 4002 in exponential form is:

4002 = 21×31×231×291

Now multiplying the highest exponent prime factors to calculate the LCM of 3995 and 4002.

LCM(3995,4002) = 21×31×51×171×231×291×471
LCM(3995,4002) = 15987990

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 4002

List of positive integer factors of 4002 that divides 4002 without a remainder.

1, 2, 3, 6, 23, 29, 46, 58, 69, 87, 138, 174, 667, 1334, 2001, 4002

Least Common Multiple of 3995 and 4002 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 4002, than apply into the LCM equation.

GCF(3995,4002) = 1
LCM(3995,4002) = ( 3995 × 4002) / 1
LCM(3995,4002) = 15987990 / 1
LCM(3995,4002) = 15987990

Properties of LCM 3995 and 4002

(i) The LCM of 4002 and 3995 is associative

LCM of 3995 and 4002 = LCM of 4002 and 3995

Related Least Common Multiples of 3995

Related Least Common Multiples of 4002

Frequently Asked Questions on LCM of 3995 and 4002

1. What is the LCM of 3995 and 4002?

Answer: LCM of 3995 and 4002 is 15987990.

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 4002?

Answer: Factors of 4002 are 1, 2, 3, 6, 23, 29, 46, 58, 69, 87, 138, 174, 667, 1334, 2001, 4002. There are 16 integers that are factors of 4002. The greatest factor of 4002 is 4002.

4. How to Find the LCM of 3995 and 4002?

Answer:

Least Common Multiple of 3995 and 4002 = 15987990

Step 1: Find the prime factorization of 3995

3995 = 5 x 17 x 47

Step 2: Find the prime factorization of 4002

4002 = 2 x 3 x 23 x 29

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

LCM = 15987990 = 2 x 3 x 5 x 17 x 23 x 29 x 47

Step 4: Therefore, the least common multiple of 3995 and 4002 is 15987990.