Least Common Multiple of 991 and 998

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 998 the smallest integer that is 989018 that is divisible by both numbers.

Least Common Multiple (LCM) of 991 and 998 is 989018.

LCM(991,998) = 989018

LCM of 991 and 998

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

LCM of:
and

Least Common Multiple of 991 and 998

LCM of 991 and 998 is 989018

Least common multiple can be found by multiplying the highest exponent prime factors of 991 and 998. First we will calculate the prime factors of 991 and 998.

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 998


2 998
499 499
1

Prime factors of 998 are 2,499. Prime factorization of 998 in exponential form is:

998 = 21×4991

Now multiplying the highest exponent prime factors to calculate the LCM of 991 and 998.

LCM(991,998) = 21×4991×9911
LCM(991,998) = 989018

Factors of 991

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

1, 991

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Least Common Multiple of 991 and 998 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 998, than apply into the LCM equation.

GCF(991,998) = 1
LCM(991,998) = ( 991 × 998) / 1
LCM(991,998) = 989018 / 1
LCM(991,998) = 989018

Properties of LCM 991 and 998

(i) The LCM of 998 and 991 is associative

LCM of 991 and 998 = LCM of 998 and 991

Related Least Common Multiples of 991

Related Least Common Multiples of 998

Frequently Asked Questions on LCM of 991 and 998

1. What is the LCM of 991 and 998?

Answer: LCM of 991 and 998 is 989018.

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 998?

Answer: Factors of 998 are 1, 2, 499, 998. There are 4 integers that are factors of 998. The greatest factor of 998 is 998.

4. How to Find the LCM of 991 and 998?

Answer:

Least Common Multiple of 991 and 998 = 989018

Step 1: Find the prime factorization of 991

991 = 991

Step 2: Find the prime factorization of 998

998 = 2 x 499

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

LCM = 989018 = 2 x 499 x 991

Step 4: Therefore, the least common multiple of 991 and 998 is 989018.