Least Common Multiple of 998 and 1004

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 1004 the smallest integer that is 500996 that is divisible by both numbers.

Least Common Multiple (LCM) of 998 and 1004 is 500996.

LCM(998,1004) = 500996

LCM of 998 and 1004

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

LCM of:
and

Least Common Multiple of 998 and 1004

LCM of 998 and 1004 is 500996

Least common multiple can be found by multiplying the highest exponent prime factors of 998 and 1004. First we will calculate the prime factors of 998 and 1004.

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 1004


2 1004
2 502
251 251
1

Prime factors of 1004 are 2,251. Prime factorization of 1004 in exponential form is:

1004 = 22×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 998 and 1004.

LCM(998,1004) = 22×2511×4991
LCM(998,1004) = 500996

Factors of 998

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

1, 2, 499, 998

Factors of 1004

List of positive integer factors of 1004 that divides 1004 without a remainder.

1, 2, 4, 251, 502, 1004

Least Common Multiple of 998 and 1004 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 1004, than apply into the LCM equation.

GCF(998,1004) = 2
LCM(998,1004) = ( 998 × 1004) / 2
LCM(998,1004) = 1001992 / 2
LCM(998,1004) = 500996

Properties of LCM 998 and 1004

(i) The LCM of 1004 and 998 is associative

LCM of 998 and 1004 = LCM of 1004 and 998

Frequently Asked Questions on LCM of 998 and 1004

1. What is the LCM of 998 and 1004?

Answer: LCM of 998 and 1004 is 500996.

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 1004?

Answer: Factors of 1004 are 1, 2, 4, 251, 502, 1004. There are 6 integers that are factors of 1004. The greatest factor of 1004 is 1004.

4. How to Find the LCM of 998 and 1004?

Answer:

Least Common Multiple of 998 and 1004 = 500996

Step 1: Find the prime factorization of 998

998 = 2 x 499

Step 2: Find the prime factorization of 1004

1004 = 2 x 2 x 251

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

LCM = 500996 = 2 x 2 x 251 x 499

Step 4: Therefore, the least common multiple of 998 and 1004 is 500996.