Least Common Multiple of 998 and 999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 998 and 999 the smallest integer that is 997002 that is divisible by both numbers.

Least Common Multiple (LCM) of 998 and 999 is 997002.

LCM(998,999) = 997002

LCM of 998 and 999

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

LCM of:
and

Least Common Multiple of 998 and 999

LCM of 998 and 999 is 997002

Least common multiple can be found by multiplying the highest exponent prime factors of 998 and 999. First we will calculate the prime factors of 998 and 999.

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

Prime Factorization of 999


3 999
3 333
3 111
37 37
1

Prime factors of 999 are 3,37. Prime factorization of 999 in exponential form is:

999 = 33×371

Now multiplying the highest exponent prime factors to calculate the LCM of 998 and 999.

LCM(998,999) = 21×33×371×4991
LCM(998,999) = 997002

Factors of 998

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

1, 2, 499, 998

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Least Common Multiple of 998 and 999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 998 and 999, than apply into the LCM equation.

GCF(998,999) = 1
LCM(998,999) = ( 998 × 999) / 1
LCM(998,999) = 997002 / 1
LCM(998,999) = 997002

Properties of LCM 998 and 999

(i) The LCM of 999 and 998 is associative

LCM of 998 and 999 = LCM of 999 and 998

Related Least Common Multiples of 998

Related Least Common Multiples of 999

Frequently Asked Questions on LCM of 998 and 999

1. What is the LCM of 998 and 999?

Answer: LCM of 998 and 999 is 997002.

2. 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.

3. What are the Factors of 999?

Answer: Factors of 999 are 1, 3, 9, 27, 37, 111, 333, 999. There are 8 integers that are factors of 999. The greatest factor of 999 is 999.

4. How to Find the LCM of 998 and 999?

Answer:

Least Common Multiple of 998 and 999 = 997002

Step 1: Find the prime factorization of 998

998 = 2 x 499

Step 2: Find the prime factorization of 999

999 = 3 x 3 x 3 x 37

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

LCM = 997002 = 2 x 3 x 3 x 3 x 37 x 499

Step 4: Therefore, the least common multiple of 998 and 999 is 997002.