Least Common Multiple of 993 and 994

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 994 the smallest integer that is 987042 that is divisible by both numbers.

Least Common Multiple (LCM) of 993 and 994 is 987042.

LCM(993,994) = 987042

LCM of 993 and 994

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

LCM of:
and

Least Common Multiple of 993 and 994

LCM of 993 and 994 is 987042

Least common multiple can be found by multiplying the highest exponent prime factors of 993 and 994. First we will calculate the prime factors of 993 and 994.

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 994


2 994
7 497
71 71
1

Prime factors of 994 are 2, 7,71. Prime factorization of 994 in exponential form is:

994 = 21×71×711

Now multiplying the highest exponent prime factors to calculate the LCM of 993 and 994.

LCM(993,994) = 21×31×71×711×3311
LCM(993,994) = 987042

Factors of 993

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

1, 3, 331, 993

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Least Common Multiple of 993 and 994 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 994, than apply into the LCM equation.

GCF(993,994) = 1
LCM(993,994) = ( 993 × 994) / 1
LCM(993,994) = 987042 / 1
LCM(993,994) = 987042

Properties of LCM 993 and 994

(i) The LCM of 994 and 993 is associative

LCM of 993 and 994 = LCM of 994 and 993

Related Least Common Multiples of 993

Related Least Common Multiples of 994

Frequently Asked Questions on LCM of 993 and 994

1. What is the LCM of 993 and 994?

Answer: LCM of 993 and 994 is 987042.

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 994?

Answer: Factors of 994 are 1, 2, 7, 14, 71, 142, 497, 994. There are 8 integers that are factors of 994. The greatest factor of 994 is 994.

4. How to Find the LCM of 993 and 994?

Answer:

Least Common Multiple of 993 and 994 = 987042

Step 1: Find the prime factorization of 993

993 = 3 x 331

Step 2: Find the prime factorization of 994

994 = 2 x 7 x 71

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

LCM = 987042 = 2 x 3 x 7 x 71 x 331

Step 4: Therefore, the least common multiple of 993 and 994 is 987042.