Least Common Multiple of 990 and 993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 990 and 993 the smallest integer that is 327690 that is divisible by both numbers.

Least Common Multiple (LCM) of 990 and 993 is 327690.

LCM(990,993) = 327690

LCM of 990 and 993

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

LCM of:
and

Least Common Multiple of 990 and 993

LCM of 990 and 993 is 327690

Least common multiple can be found by multiplying the highest exponent prime factors of 990 and 993. First we will calculate the prime factors of 990 and 993.

Prime Factorization of 990


2 990
3 495
3 165
5 55
11 11
1

Prime factors of 990 are 2, 3, 5,11. Prime factorization of 990 in exponential form is:

990 = 21×32×51×111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 990 and 993.

LCM(990,993) = 21×32×51×111×3311
LCM(990,993) = 327690

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Factors of 993

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

1, 3, 331, 993

Least Common Multiple of 990 and 993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 990 and 993, than apply into the LCM equation.

GCF(990,993) = 3
LCM(990,993) = ( 990 × 993) / 3
LCM(990,993) = 983070 / 3
LCM(990,993) = 327690

Properties of LCM 990 and 993

(i) The LCM of 993 and 990 is associative

LCM of 990 and 993 = LCM of 993 and 990

Related Least Common Multiples of 990

Related Least Common Multiples of 993

Frequently Asked Questions on LCM of 990 and 993

1. What is the LCM of 990 and 993?

Answer: LCM of 990 and 993 is 327690.

2. What are the Factors of 990?

Answer: Factors of 990 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990. There are 24 integers that are factors of 990. The greatest factor of 990 is 990.

3. 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.

4. How to Find the LCM of 990 and 993?

Answer:

Least Common Multiple of 990 and 993 = 327690

Step 1: Find the prime factorization of 990

990 = 2 x 3 x 3 x 5 x 11

Step 2: Find the prime factorization of 993

993 = 3 x 331

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

LCM = 327690 = 2 x 3 x 3 x 5 x 11 x 331

Step 4: Therefore, the least common multiple of 990 and 993 is 327690.