Least Common Multiple of 990 and 991

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 991 the smallest integer that is 981090 that is divisible by both numbers.

Least Common Multiple (LCM) of 990 and 991 is 981090.

LCM(990,991) = 981090

LCM of 990 and 991

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

LCM of:
and

Least Common Multiple of 990 and 991

LCM of 990 and 991 is 981090

Least common multiple can be found by multiplying the highest exponent prime factors of 990 and 991. First we will calculate the prime factors of 990 and 991.

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 991


991 991
1

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

991 = 9911

Now multiplying the highest exponent prime factors to calculate the LCM of 990 and 991.

LCM(990,991) = 21×32×51×111×9911
LCM(990,991) = 981090

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 991

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

1, 991

Least Common Multiple of 990 and 991 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 991, than apply into the LCM equation.

GCF(990,991) = 1
LCM(990,991) = ( 990 × 991) / 1
LCM(990,991) = 981090 / 1
LCM(990,991) = 981090

Properties of LCM 990 and 991

(i) The LCM of 991 and 990 is associative

LCM of 990 and 991 = LCM of 991 and 990

Related Least Common Multiples of 990

Related Least Common Multiples of 991

Frequently Asked Questions on LCM of 990 and 991

1. What is the LCM of 990 and 991?

Answer: LCM of 990 and 991 is 981090.

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 991?

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

4. How to Find the LCM of 990 and 991?

Answer:

Least Common Multiple of 990 and 991 = 981090

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 991

991 = 991

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

LCM = 981090 = 2 x 3 x 3 x 5 x 11 x 991

Step 4: Therefore, the least common multiple of 990 and 991 is 981090.