Least Common Multiple of 991 and 992

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 992 the smallest integer that is 983072 that is divisible by both numbers.

Least Common Multiple (LCM) of 991 and 992 is 983072.

LCM(991,992) = 983072

LCM of 991 and 992

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

LCM of:
and

Least Common Multiple of 991 and 992

LCM of 991 and 992 is 983072

Least common multiple can be found by multiplying the highest exponent prime factors of 991 and 992. First we will calculate the prime factors of 991 and 992.

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 992


2 992
2 496
2 248
2 124
2 62
31 31
1

Prime factors of 992 are 2,31. Prime factorization of 992 in exponential form is:

992 = 25×311

Now multiplying the highest exponent prime factors to calculate the LCM of 991 and 992.

LCM(991,992) = 25×311×9911
LCM(991,992) = 983072

Factors of 991

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

1, 991

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Least Common Multiple of 991 and 992 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 992, than apply into the LCM equation.

GCF(991,992) = 1
LCM(991,992) = ( 991 × 992) / 1
LCM(991,992) = 983072 / 1
LCM(991,992) = 983072

Properties of LCM 991 and 992

(i) The LCM of 992 and 991 is associative

LCM of 991 and 992 = LCM of 992 and 991

Related Least Common Multiples of 991

Related Least Common Multiples of 992

Frequently Asked Questions on LCM of 991 and 992

1. What is the LCM of 991 and 992?

Answer: LCM of 991 and 992 is 983072.

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 992?

Answer: Factors of 992 are 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992. There are 12 integers that are factors of 992. The greatest factor of 992 is 992.

4. How to Find the LCM of 991 and 992?

Answer:

Least Common Multiple of 991 and 992 = 983072

Step 1: Find the prime factorization of 991

991 = 991

Step 2: Find the prime factorization of 992

992 = 2 x 2 x 2 x 2 x 2 x 31

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

LCM = 983072 = 2 x 2 x 2 x 2 x 2 x 31 x 991

Step 4: Therefore, the least common multiple of 991 and 992 is 983072.