Least Common Multiple of 991 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 991 and 996 the smallest integer that is 987036 that is divisible by both numbers.

Least Common Multiple (LCM) of 991 and 996 is 987036.

LCM(991,996) = 987036

LCM of 991 and 996

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

LCM of:
and

Least Common Multiple of 991 and 996

LCM of 991 and 996 is 987036

Least common multiple can be found by multiplying the highest exponent prime factors of 991 and 996. First we will calculate the prime factors of 991 and 996.

Prime Factorization of 991


991 991
1

Prime factors of 991 are 991. Prime factorization of 991 in exponential form is:

991 = 9911

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 991 and 996.

LCM(991,996) = 22×31×831×9911
LCM(991,996) = 987036

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1, 991

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 991 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 991 and 996, than apply into the LCM equation.

GCF(991,996) = 1
LCM(991,996) = ( 991 × 996) / 1
LCM(991,996) = 987036 / 1
LCM(991,996) = 987036

Properties of LCM 991 and 996

(i) The LCM of 996 and 991 is associative

LCM of 991 and 996 = LCM of 996 and 991

Related Least Common Multiples of 991

Related Least Common Multiples of 996

Frequently Asked Questions on LCM of 991 and 996

1. What is the LCM of 991 and 996?

Answer: LCM of 991 and 996 is 987036.

2. What are the Factors of 991?

Answer: Factors of 991 are 1, 991. There are 2 integers that are factors of 991. The greatest factor of 991 is 991.

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 991 and 996?

Answer:

Least Common Multiple of 991 and 996 = 987036

Step 1: Find the prime factorization of 991

991 = 991

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 = 987036 = 2 x 2 x 3 x 83 x 991

Step 4: Therefore, the least common multiple of 991 and 996 is 987036.