Least Common Multiple of 3995 and 4000

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 4000 the smallest integer that is 3196000 that is divisible by both numbers.

Least Common Multiple (LCM) of 3995 and 4000 is 3196000.

LCM(3995,4000) = 3196000

LCM of 3995 and 4000

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

LCM of:
and

Least Common Multiple of 3995 and 4000

LCM of 3995 and 4000 is 3196000

Least common multiple can be found by multiplying the highest exponent prime factors of 3995 and 4000. First we will calculate the prime factors of 3995 and 4000.

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 4000


2 4000
2 2000
2 1000
2 500
2 250
5 125
5 25
5 5
1

Prime factors of 4000 are 2,5. Prime factorization of 4000 in exponential form is:

4000 = 25×53

Now multiplying the highest exponent prime factors to calculate the LCM of 3995 and 4000.

LCM(3995,4000) = 25×53×171×471
LCM(3995,4000) = 3196000

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 4000

List of positive integer factors of 4000 that divides 4000 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000, 4000

Least Common Multiple of 3995 and 4000 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 4000, than apply into the LCM equation.

GCF(3995,4000) = 5
LCM(3995,4000) = ( 3995 × 4000) / 5
LCM(3995,4000) = 15980000 / 5
LCM(3995,4000) = 3196000

Properties of LCM 3995 and 4000

(i) The LCM of 4000 and 3995 is associative

LCM of 3995 and 4000 = LCM of 4000 and 3995

Related Least Common Multiples of 3995

Related Least Common Multiples of 4000

Frequently Asked Questions on LCM of 3995 and 4000

1. What is the LCM of 3995 and 4000?

Answer: LCM of 3995 and 4000 is 3196000.

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 4000?

Answer: Factors of 4000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000, 4000. There are 24 integers that are factors of 4000. The greatest factor of 4000 is 4000.

4. How to Find the LCM of 3995 and 4000?

Answer:

Least Common Multiple of 3995 and 4000 = 3196000

Step 1: Find the prime factorization of 3995

3995 = 5 x 17 x 47

Step 2: Find the prime factorization of 4000

4000 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5

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

LCM = 3196000 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 17 x 47

Step 4: Therefore, the least common multiple of 3995 and 4000 is 3196000.