Least Common Multiple of 993 and 1000

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 1000 the smallest integer that is 993000 that is divisible by both numbers.

Least Common Multiple (LCM) of 993 and 1000 is 993000.

LCM(993,1000) = 993000

LCM of 993 and 1000

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

LCM of:
and

Least Common Multiple of 993 and 1000

LCM of 993 and 1000 is 993000

Least common multiple can be found by multiplying the highest exponent prime factors of 993 and 1000. First we will calculate the prime factors of 993 and 1000.

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 1000


2 1000
2 500
2 250
5 125
5 25
5 5
1

Prime factors of 1000 are 2,5. Prime factorization of 1000 in exponential form is:

1000 = 23×53

Now multiplying the highest exponent prime factors to calculate the LCM of 993 and 1000.

LCM(993,1000) = 23×31×53×3311
LCM(993,1000) = 993000

Factors of 993

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

1, 3, 331, 993

Factors of 1000

List of positive integer factors of 1000 that divides 1000 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000

Least Common Multiple of 993 and 1000 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 1000, than apply into the LCM equation.

GCF(993,1000) = 1
LCM(993,1000) = ( 993 × 1000) / 1
LCM(993,1000) = 993000 / 1
LCM(993,1000) = 993000

Properties of LCM 993 and 1000

(i) The LCM of 1000 and 993 is associative

LCM of 993 and 1000 = LCM of 1000 and 993

Related Least Common Multiples of 993

Related Least Common Multiples of 1000

Frequently Asked Questions on LCM of 993 and 1000

1. What is the LCM of 993 and 1000?

Answer: LCM of 993 and 1000 is 993000.

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 1000?

Answer: Factors of 1000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000. There are 16 integers that are factors of 1000. The greatest factor of 1000 is 1000.

4. How to Find the LCM of 993 and 1000?

Answer:

Least Common Multiple of 993 and 1000 = 993000

Step 1: Find the prime factorization of 993

993 = 3 x 331

Step 2: Find the prime factorization of 1000

1000 = 2 x 2 x 2 x 5 x 5 x 5

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

LCM = 993000 = 2 x 2 x 2 x 3 x 5 x 5 x 5 x 331

Step 4: Therefore, the least common multiple of 993 and 1000 is 993000.