Least Common Multiple of 998 and 1002

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 1002 the smallest integer that is 499998 that is divisible by both numbers.

Least Common Multiple (LCM) of 998 and 1002 is 499998.

LCM(998,1002) = 499998

LCM of 998 and 1002

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

LCM of:
and

Least Common Multiple of 998 and 1002

LCM of 998 and 1002 is 499998

Least common multiple can be found by multiplying the highest exponent prime factors of 998 and 1002. First we will calculate the prime factors of 998 and 1002.

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 1002


2 1002
3 501
167 167
1

Prime factors of 1002 are 2, 3,167. Prime factorization of 1002 in exponential form is:

1002 = 21×31×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 998 and 1002.

LCM(998,1002) = 21×31×1671×4991
LCM(998,1002) = 499998

Factors of 998

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

1, 2, 499, 998

Factors of 1002

List of positive integer factors of 1002 that divides 1002 without a remainder.

1, 2, 3, 6, 167, 334, 501, 1002

Least Common Multiple of 998 and 1002 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 1002, than apply into the LCM equation.

GCF(998,1002) = 2
LCM(998,1002) = ( 998 × 1002) / 2
LCM(998,1002) = 999996 / 2
LCM(998,1002) = 499998

Properties of LCM 998 and 1002

(i) The LCM of 1002 and 998 is associative

LCM of 998 and 1002 = LCM of 1002 and 998

Related Least Common Multiples of 998

Related Least Common Multiples of 1002

Frequently Asked Questions on LCM of 998 and 1002

1. What is the LCM of 998 and 1002?

Answer: LCM of 998 and 1002 is 499998.

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 1002?

Answer: Factors of 1002 are 1, 2, 3, 6, 167, 334, 501, 1002. There are 8 integers that are factors of 1002. The greatest factor of 1002 is 1002.

4. How to Find the LCM of 998 and 1002?

Answer:

Least Common Multiple of 998 and 1002 = 499998

Step 1: Find the prime factorization of 998

998 = 2 x 499

Step 2: Find the prime factorization of 1002

1002 = 2 x 3 x 167

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

LCM = 499998 = 2 x 3 x 167 x 499

Step 4: Therefore, the least common multiple of 998 and 1002 is 499998.