Least Common Multiple of 993 and 996

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 996 the smallest integer that is 329676 that is divisible by both numbers.

Least Common Multiple (LCM) of 993 and 996 is 329676.

LCM(993,996) = 329676

LCM of 993 and 996

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

LCM of:
and

Least Common Multiple of 993 and 996

LCM of 993 and 996 is 329676

Least common multiple can be found by multiplying the highest exponent prime factors of 993 and 996. First we will calculate the prime factors of 993 and 996.

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 996


2 996
2 498
3 249
83 83
1

Prime factors of 996 are 2, 3,83. Prime factorization of 996 in exponential form is:

996 = 22×31×831

Now multiplying the highest exponent prime factors to calculate the LCM of 993 and 996.

LCM(993,996) = 22×31×831×3311
LCM(993,996) = 329676

Factors of 993

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

1, 3, 331, 993

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Least Common Multiple of 993 and 996 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 996, than apply into the LCM equation.

GCF(993,996) = 3
LCM(993,996) = ( 993 × 996) / 3
LCM(993,996) = 989028 / 3
LCM(993,996) = 329676

Properties of LCM 993 and 996

(i) The LCM of 996 and 993 is associative

LCM of 993 and 996 = LCM of 996 and 993

Related Least Common Multiples of 993

Related Least Common Multiples of 996

Frequently Asked Questions on LCM of 993 and 996

1. What is the LCM of 993 and 996?

Answer: LCM of 993 and 996 is 329676.

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 996?

Answer: Factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996. There are 12 integers that are factors of 996. The greatest factor of 996 is 996.

4. How to Find the LCM of 993 and 996?

Answer:

Least Common Multiple of 993 and 996 = 329676

Step 1: Find the prime factorization of 993

993 = 3 x 331

Step 2: Find the prime factorization of 996

996 = 2 x 2 x 3 x 83

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

LCM = 329676 = 2 x 2 x 3 x 83 x 331

Step 4: Therefore, the least common multiple of 993 and 996 is 329676.