Least Common Multiple of 3987 and 3995

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3987 and 3995 the smallest integer that is 15928065 that is divisible by both numbers.

Least Common Multiple (LCM) of 3987 and 3995 is 15928065.

LCM(3987,3995) = 15928065

LCM of 3987 and 3995

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

LCM of:
and

Least Common Multiple of 3987 and 3995

LCM of 3987 and 3995 is 15928065

Least common multiple can be found by multiplying the highest exponent prime factors of 3987 and 3995. First we will calculate the prime factors of 3987 and 3995.

Prime Factorization of 3987


3 3987
3 1329
443 443
1

Prime factors of 3987 are 3,443. Prime factorization of 3987 in exponential form is:

3987 = 32×4431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3987 and 3995.

LCM(3987,3995) = 32×51×171×471×4431
LCM(3987,3995) = 15928065

Factors of 3987

List of positive integer factors of 3987 that divides 3987 without a remainder.

1, 3, 9, 443, 1329, 3987

Factors of 3995

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

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

Least Common Multiple of 3987 and 3995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3987 and 3995, than apply into the LCM equation.

GCF(3987,3995) = 1
LCM(3987,3995) = ( 3987 × 3995) / 1
LCM(3987,3995) = 15928065 / 1
LCM(3987,3995) = 15928065

Properties of LCM 3987 and 3995

(i) The LCM of 3995 and 3987 is associative

LCM of 3987 and 3995 = LCM of 3995 and 3987

Related Least Common Multiples of 3987

Related Least Common Multiples of 3995

Frequently Asked Questions on LCM of 3987 and 3995

1. What is the LCM of 3987 and 3995?

Answer: LCM of 3987 and 3995 is 15928065.

2. What are the Factors of 3987?

Answer: Factors of 3987 are 1, 3, 9, 443, 1329, 3987. There are 6 integers that are factors of 3987. The greatest factor of 3987 is 3987.

3. 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.

4. How to Find the LCM of 3987 and 3995?

Answer:

Least Common Multiple of 3987 and 3995 = 15928065

Step 1: Find the prime factorization of 3987

3987 = 3 x 3 x 443

Step 2: Find the prime factorization of 3995

3995 = 5 x 17 x 47

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

LCM = 15928065 = 3 x 3 x 5 x 17 x 47 x 443

Step 4: Therefore, the least common multiple of 3987 and 3995 is 15928065.