Least Common Multiple of 3985 and 3992

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 3992 the smallest integer that is 15908120 that is divisible by both numbers.

Least Common Multiple (LCM) of 3985 and 3992 is 15908120.

LCM(3985,3992) = 15908120

LCM of 3985 and 3992

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

LCM of:
and

Least Common Multiple of 3985 and 3992

LCM of 3985 and 3992 is 15908120

Least common multiple can be found by multiplying the highest exponent prime factors of 3985 and 3992. First we will calculate the prime factors of 3985 and 3992.

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 3992


2 3992
2 1996
2 998
499 499
1

Prime factors of 3992 are 2,499. Prime factorization of 3992 in exponential form is:

3992 = 23×4991

Now multiplying the highest exponent prime factors to calculate the LCM of 3985 and 3992.

LCM(3985,3992) = 23×51×4991×7971
LCM(3985,3992) = 15908120

Factors of 3985

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

1, 5, 797, 3985

Factors of 3992

List of positive integer factors of 3992 that divides 3992 without a remainder.

1, 2, 4, 8, 499, 998, 1996, 3992

Least Common Multiple of 3985 and 3992 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 3992, than apply into the LCM equation.

GCF(3985,3992) = 1
LCM(3985,3992) = ( 3985 × 3992) / 1
LCM(3985,3992) = 15908120 / 1
LCM(3985,3992) = 15908120

Properties of LCM 3985 and 3992

(i) The LCM of 3992 and 3985 is associative

LCM of 3985 and 3992 = LCM of 3992 and 3985

Related Least Common Multiples of 3985

Related Least Common Multiples of 3992

Frequently Asked Questions on LCM of 3985 and 3992

1. What is the LCM of 3985 and 3992?

Answer: LCM of 3985 and 3992 is 15908120.

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 3992?

Answer: Factors of 3992 are 1, 2, 4, 8, 499, 998, 1996, 3992. There are 8 integers that are factors of 3992. The greatest factor of 3992 is 3992.

4. How to Find the LCM of 3985 and 3992?

Answer:

Least Common Multiple of 3985 and 3992 = 15908120

Step 1: Find the prime factorization of 3985

3985 = 5 x 797

Step 2: Find the prime factorization of 3992

3992 = 2 x 2 x 2 x 499

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

LCM = 15908120 = 2 x 2 x 2 x 5 x 499 x 797

Step 4: Therefore, the least common multiple of 3985 and 3992 is 15908120.