Least Common Multiple of 998 and 1005

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 1005 the smallest integer that is 1002990 that is divisible by both numbers.

Least Common Multiple (LCM) of 998 and 1005 is 1002990.

LCM(998,1005) = 1002990

LCM of 998 and 1005

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

LCM of:
and

Least Common Multiple of 998 and 1005

LCM of 998 and 1005 is 1002990

Least common multiple can be found by multiplying the highest exponent prime factors of 998 and 1005. First we will calculate the prime factors of 998 and 1005.

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 1005


3 1005
5 335
67 67
1

Prime factors of 1005 are 3, 5,67. Prime factorization of 1005 in exponential form is:

1005 = 31×51×671

Now multiplying the highest exponent prime factors to calculate the LCM of 998 and 1005.

LCM(998,1005) = 21×31×51×671×4991
LCM(998,1005) = 1002990

Factors of 998

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

1, 2, 499, 998

Factors of 1005

List of positive integer factors of 1005 that divides 1005 without a remainder.

1, 3, 5, 15, 67, 201, 335, 1005

Least Common Multiple of 998 and 1005 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 1005, than apply into the LCM equation.

GCF(998,1005) = 1
LCM(998,1005) = ( 998 × 1005) / 1
LCM(998,1005) = 1002990 / 1
LCM(998,1005) = 1002990

Properties of LCM 998 and 1005

(i) The LCM of 1005 and 998 is associative

LCM of 998 and 1005 = LCM of 1005 and 998

Related Least Common Multiples of 998

Related Least Common Multiples of 1005

Frequently Asked Questions on LCM of 998 and 1005

1. What is the LCM of 998 and 1005?

Answer: LCM of 998 and 1005 is 1002990.

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 1005?

Answer: Factors of 1005 are 1, 3, 5, 15, 67, 201, 335, 1005. There are 8 integers that are factors of 1005. The greatest factor of 1005 is 1005.

4. How to Find the LCM of 998 and 1005?

Answer:

Least Common Multiple of 998 and 1005 = 1002990

Step 1: Find the prime factorization of 998

998 = 2 x 499

Step 2: Find the prime factorization of 1005

1005 = 3 x 5 x 67

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

LCM = 1002990 = 2 x 3 x 5 x 67 x 499

Step 4: Therefore, the least common multiple of 998 and 1005 is 1002990.