Least Common Multiple of 993 and 998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 993 and 998 the smallest integer that is 991014 that is divisible by both numbers.

Least Common Multiple (LCM) of 993 and 998 is 991014.

LCM(993,998) = 991014

LCM of 993 and 998

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

LCM of:
and

Least Common Multiple of 993 and 998

LCM of 993 and 998 is 991014

Least common multiple can be found by multiplying the highest exponent prime factors of 993 and 998. First we will calculate the prime factors of 993 and 998.

Prime Factorization of 993


3 993
331 331
1

Prime factors of 993 are 3,331. Prime factorization of 993 in exponential form is:

993 = 31×3311

Prime Factorization of 998


2 998
499 499
1

Prime factors of 998 are 2,499. Prime factorization of 998 in exponential form is:

998 = 21×4991

Now multiplying the highest exponent prime factors to calculate the LCM of 993 and 998.

LCM(993,998) = 21×31×3311×4991
LCM(993,998) = 991014

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Least Common Multiple of 993 and 998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 993 and 998, than apply into the LCM equation.

GCF(993,998) = 1
LCM(993,998) = ( 993 × 998) / 1
LCM(993,998) = 991014 / 1
LCM(993,998) = 991014

Properties of LCM 993 and 998

(i) The LCM of 998 and 993 is associative

LCM of 993 and 998 = LCM of 998 and 993

Related Least Common Multiples of 993

Related Least Common Multiples of 998

Frequently Asked Questions on LCM of 993 and 998

1. What is the LCM of 993 and 998?

Answer: LCM of 993 and 998 is 991014.

2. What are the Factors of 993?

Answer: Factors of 993 are 1, 3, 331, 993. There are 4 integers that are factors of 993. The greatest factor of 993 is 993.

3. What are the Factors of 998?

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

4. How to Find the LCM of 993 and 998?

Answer:

Least Common Multiple of 993 and 998 = 991014

Step 1: Find the prime factorization of 993

993 = 3 x 331

Step 2: Find the prime factorization of 998

998 = 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 = 991014 = 2 x 3 x 331 x 499

Step 4: Therefore, the least common multiple of 993 and 998 is 991014.