Least Common Multiple of 3985 and 3993

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 3993 the smallest integer that is 15912105 that is divisible by both numbers.

Least Common Multiple (LCM) of 3985 and 3993 is 15912105.

LCM(3985,3993) = 15912105

LCM of 3985 and 3993

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

LCM of:
and

Least Common Multiple of 3985 and 3993

LCM of 3985 and 3993 is 15912105

Least common multiple can be found by multiplying the highest exponent prime factors of 3985 and 3993. First we will calculate the prime factors of 3985 and 3993.

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 3993


3 3993
11 1331
11 121
11 11
1

Prime factors of 3993 are 3,11. Prime factorization of 3993 in exponential form is:

3993 = 31×113

Now multiplying the highest exponent prime factors to calculate the LCM of 3985 and 3993.

LCM(3985,3993) = 31×51×113×7971
LCM(3985,3993) = 15912105

Factors of 3985

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

1, 5, 797, 3985

Factors of 3993

List of positive integer factors of 3993 that divides 3993 without a remainder.

1, 3, 11, 33, 121, 363, 1331, 3993

Least Common Multiple of 3985 and 3993 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 3993, than apply into the LCM equation.

GCF(3985,3993) = 1
LCM(3985,3993) = ( 3985 × 3993) / 1
LCM(3985,3993) = 15912105 / 1
LCM(3985,3993) = 15912105

Properties of LCM 3985 and 3993

(i) The LCM of 3993 and 3985 is associative

LCM of 3985 and 3993 = LCM of 3993 and 3985

Related Least Common Multiples of 3985

Related Least Common Multiples of 3993

Frequently Asked Questions on LCM of 3985 and 3993

1. What is the LCM of 3985 and 3993?

Answer: LCM of 3985 and 3993 is 15912105.

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 3993?

Answer: Factors of 3993 are 1, 3, 11, 33, 121, 363, 1331, 3993. There are 8 integers that are factors of 3993. The greatest factor of 3993 is 3993.

4. How to Find the LCM of 3985 and 3993?

Answer:

Least Common Multiple of 3985 and 3993 = 15912105

Step 1: Find the prime factorization of 3985

3985 = 5 x 797

Step 2: Find the prime factorization of 3993

3993 = 3 x 11 x 11 x 11

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

LCM = 15912105 = 3 x 5 x 11 x 11 x 11 x 797

Step 4: Therefore, the least common multiple of 3985 and 3993 is 15912105.