Least Common Multiple of 9985 and 9993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9985 and 9993 the smallest integer that is 99780105 that is divisible by both numbers.

Least Common Multiple (LCM) of 9985 and 9993 is 99780105.

LCM(9985,9993) = 99780105

LCM of 9985 and 9993

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

LCM of:
and

Least Common Multiple of 9985 and 9993

LCM of 9985 and 9993 is 99780105

Least common multiple can be found by multiplying the highest exponent prime factors of 9985 and 9993. First we will calculate the prime factors of 9985 and 9993.

Prime Factorization of 9985


5 9985
1997 1997
1

Prime factors of 9985 are 5,1997. Prime factorization of 9985 in exponential form is:

9985 = 51×19971

Prime Factorization of 9993


3 9993
3331 3331
1

Prime factors of 9993 are 3,3331. Prime factorization of 9993 in exponential form is:

9993 = 31×33311

Now multiplying the highest exponent prime factors to calculate the LCM of 9985 and 9993.

LCM(9985,9993) = 31×51×19971×33311
LCM(9985,9993) = 99780105

Factors of 9985

List of positive integer factors of 9985 that divides 9985 without a remainder.

1, 5, 1997, 9985

Factors of 9993

List of positive integer factors of 9993 that divides 9993 without a remainder.

1, 3, 3331, 9993

Least Common Multiple of 9985 and 9993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9985 and 9993, than apply into the LCM equation.

GCF(9985,9993) = 1
LCM(9985,9993) = ( 9985 × 9993) / 1
LCM(9985,9993) = 99780105 / 1
LCM(9985,9993) = 99780105

Properties of LCM 9985 and 9993

(i) The LCM of 9993 and 9985 is associative

LCM of 9985 and 9993 = LCM of 9993 and 9985

Related Least Common Multiples of 9985

Related Least Common Multiples of 9993

Frequently Asked Questions on LCM of 9985 and 9993

1. What is the LCM of 9985 and 9993?

Answer: LCM of 9985 and 9993 is 99780105.

2. What are the Factors of 9985?

Answer: Factors of 9985 are 1, 5, 1997, 9985. There are 4 integers that are factors of 9985. The greatest factor of 9985 is 9985.

3. What are the Factors of 9993?

Answer: Factors of 9993 are 1, 3, 3331, 9993. There are 4 integers that are factors of 9993. The greatest factor of 9993 is 9993.

4. How to Find the LCM of 9985 and 9993?

Answer:

Least Common Multiple of 9985 and 9993 = 99780105

Step 1: Find the prime factorization of 9985

9985 = 5 x 1997

Step 2: Find the prime factorization of 9993

9993 = 3 x 3331

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

LCM = 99780105 = 3 x 5 x 1997 x 3331

Step 4: Therefore, the least common multiple of 9985 and 9993 is 99780105.