Least Common Multiple of 3985 and 3991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3985 and 3991 the smallest integer that is 15904135 that is divisible by both numbers.

Least Common Multiple (LCM) of 3985 and 3991 is 15904135.

LCM(3985,3991) = 15904135

LCM of 3985 and 3991

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

LCM of:
and

Least Common Multiple of 3985 and 3991

LCM of 3985 and 3991 is 15904135

Least common multiple can be found by multiplying the highest exponent prime factors of 3985 and 3991. First we will calculate the prime factors of 3985 and 3991.

Prime Factorization of 3985


5 3985
797 797
1

Prime factors of 3985 are 5,797. Prime factorization of 3985 in exponential form is:

3985 = 51×7971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3985 and 3991.

LCM(3985,3991) = 51×131×3071×7971
LCM(3985,3991) = 15904135

Factors of 3985

List of positive integer factors of 3985 that divides 3985 without a remainder.

1, 5, 797, 3985

Factors of 3991

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

1, 13, 307, 3991

Least Common Multiple of 3985 and 3991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3985 and 3991, than apply into the LCM equation.

GCF(3985,3991) = 1
LCM(3985,3991) = ( 3985 × 3991) / 1
LCM(3985,3991) = 15904135 / 1
LCM(3985,3991) = 15904135

Properties of LCM 3985 and 3991

(i) The LCM of 3991 and 3985 is associative

LCM of 3985 and 3991 = LCM of 3991 and 3985

Related Least Common Multiples of 3985

Related Least Common Multiples of 3991

Frequently Asked Questions on LCM of 3985 and 3991

1. What is the LCM of 3985 and 3991?

Answer: LCM of 3985 and 3991 is 15904135.

2. What are the Factors of 3985?

Answer: Factors of 3985 are 1, 5, 797, 3985. There are 4 integers that are factors of 3985. The greatest factor of 3985 is 3985.

3. 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.

4. How to Find the LCM of 3985 and 3991?

Answer:

Least Common Multiple of 3985 and 3991 = 15904135

Step 1: Find the prime factorization of 3985

3985 = 5 x 797

Step 2: Find the prime factorization of 3991

3991 = 13 x 307

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

LCM = 15904135 = 5 x 13 x 307 x 797

Step 4: Therefore, the least common multiple of 3985 and 3991 is 15904135.