Least Common Multiple of 996 and 1003

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 996 and 1003 the smallest integer that is 998988 that is divisible by both numbers.

Least Common Multiple (LCM) of 996 and 1003 is 998988.

LCM(996,1003) = 998988

LCM of 996 and 1003

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

LCM of:
and

Least Common Multiple of 996 and 1003

LCM of 996 and 1003 is 998988

Least common multiple can be found by multiplying the highest exponent prime factors of 996 and 1003. First we will calculate the prime factors of 996 and 1003.

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

Prime Factorization of 1003


17 1003
59 59
1

Prime factors of 1003 are 17,59. Prime factorization of 1003 in exponential form is:

1003 = 171×591

Now multiplying the highest exponent prime factors to calculate the LCM of 996 and 1003.

LCM(996,1003) = 22×31×171×591×831
LCM(996,1003) = 998988

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

Factors of 1003

List of positive integer factors of 1003 that divides 1003 without a remainder.

1, 17, 59, 1003

Least Common Multiple of 996 and 1003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 996 and 1003, than apply into the LCM equation.

GCF(996,1003) = 1
LCM(996,1003) = ( 996 × 1003) / 1
LCM(996,1003) = 998988 / 1
LCM(996,1003) = 998988

Properties of LCM 996 and 1003

(i) The LCM of 1003 and 996 is associative

LCM of 996 and 1003 = LCM of 1003 and 996

Related Least Common Multiples of 996

Related Least Common Multiples of 1003

Frequently Asked Questions on LCM of 996 and 1003

1. What is the LCM of 996 and 1003?

Answer: LCM of 996 and 1003 is 998988.

2. 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.

3. What are the Factors of 1003?

Answer: Factors of 1003 are 1, 17, 59, 1003. There are 4 integers that are factors of 1003. The greatest factor of 1003 is 1003.

4. How to Find the LCM of 996 and 1003?

Answer:

Least Common Multiple of 996 and 1003 = 998988

Step 1: Find the prime factorization of 996

996 = 2 x 2 x 3 x 83

Step 2: Find the prime factorization of 1003

1003 = 17 x 59

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

LCM = 998988 = 2 x 2 x 3 x 17 x 59 x 83

Step 4: Therefore, the least common multiple of 996 and 1003 is 998988.