Least Common Multiple of 9993 and 9998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9993 and 9998 the smallest integer that is 99910014 that is divisible by both numbers.

Least Common Multiple (LCM) of 9993 and 9998 is 99910014.

LCM(9993,9998) = 99910014

LCM of 9993 and 9998

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

LCM of:
and

Least Common Multiple of 9993 and 9998

LCM of 9993 and 9998 is 99910014

Least common multiple can be found by multiplying the highest exponent prime factors of 9993 and 9998. First we will calculate the prime factors of 9993 and 9998.

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

Prime Factorization of 9998


2 9998
4999 4999
1

Prime factors of 9998 are 2,4999. Prime factorization of 9998 in exponential form is:

9998 = 21×49991

Now multiplying the highest exponent prime factors to calculate the LCM of 9993 and 9998.

LCM(9993,9998) = 21×31×33311×49991
LCM(9993,9998) = 99910014

Factors of 9993

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

1, 3, 3331, 9993

Factors of 9998

List of positive integer factors of 9998 that divides 9998 without a remainder.

1, 2, 4999, 9998

Least Common Multiple of 9993 and 9998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9993 and 9998, than apply into the LCM equation.

GCF(9993,9998) = 1
LCM(9993,9998) = ( 9993 × 9998) / 1
LCM(9993,9998) = 99910014 / 1
LCM(9993,9998) = 99910014

Properties of LCM 9993 and 9998

(i) The LCM of 9998 and 9993 is associative

LCM of 9993 and 9998 = LCM of 9998 and 9993

Related Least Common Multiples of 9993

Related Least Common Multiples of 9998

Frequently Asked Questions on LCM of 9993 and 9998

1. What is the LCM of 9993 and 9998?

Answer: LCM of 9993 and 9998 is 99910014.

2. 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.

3. What are the Factors of 9998?

Answer: Factors of 9998 are 1, 2, 4999, 9998. There are 4 integers that are factors of 9998. The greatest factor of 9998 is 9998.

4. How to Find the LCM of 9993 and 9998?

Answer:

Least Common Multiple of 9993 and 9998 = 99910014

Step 1: Find the prime factorization of 9993

9993 = 3 x 3331

Step 2: Find the prime factorization of 9998

9998 = 2 x 4999

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

LCM = 99910014 = 2 x 3 x 3331 x 4999

Step 4: Therefore, the least common multiple of 9993 and 9998 is 99910014.