Least Common Multiple of 996 and 1001

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 1001 the smallest integer that is 996996 that is divisible by both numbers.

Least Common Multiple (LCM) of 996 and 1001 is 996996.

LCM(996,1001) = 996996

LCM of 996 and 1001

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

LCM of:
and

Least Common Multiple of 996 and 1001

LCM of 996 and 1001 is 996996

Least common multiple can be found by multiplying the highest exponent prime factors of 996 and 1001. First we will calculate the prime factors of 996 and 1001.

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 1001


7 1001
11 143
13 13
1

Prime factors of 1001 are 7, 11,13. Prime factorization of 1001 in exponential form is:

1001 = 71×111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 996 and 1001.

LCM(996,1001) = 22×31×71×111×131×831
LCM(996,1001) = 996996

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 1001

List of positive integer factors of 1001 that divides 1001 without a remainder.

1, 7, 11, 13, 77, 91, 143, 1001

Least Common Multiple of 996 and 1001 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 1001, than apply into the LCM equation.

GCF(996,1001) = 1
LCM(996,1001) = ( 996 × 1001) / 1
LCM(996,1001) = 996996 / 1
LCM(996,1001) = 996996

Properties of LCM 996 and 1001

(i) The LCM of 1001 and 996 is associative

LCM of 996 and 1001 = LCM of 1001 and 996

Related Least Common Multiples of 996

Related Least Common Multiples of 1001

Frequently Asked Questions on LCM of 996 and 1001

1. What is the LCM of 996 and 1001?

Answer: LCM of 996 and 1001 is 996996.

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 1001?

Answer: Factors of 1001 are 1, 7, 11, 13, 77, 91, 143, 1001. There are 8 integers that are factors of 1001. The greatest factor of 1001 is 1001.

4. How to Find the LCM of 996 and 1001?

Answer:

Least Common Multiple of 996 and 1001 = 996996

Step 1: Find the prime factorization of 996

996 = 2 x 2 x 3 x 83

Step 2: Find the prime factorization of 1001

1001 = 7 x 11 x 13

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

LCM = 996996 = 2 x 2 x 3 x 7 x 11 x 13 x 83

Step 4: Therefore, the least common multiple of 996 and 1001 is 996996.