Least Common Multiple of 2998 and 3003

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2998 and 3003 the smallest integer that is 9002994 that is divisible by both numbers.

Least Common Multiple (LCM) of 2998 and 3003 is 9002994.

LCM(2998,3003) = 9002994

LCM of 2998 and 3003

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

LCM of:
and

Least Common Multiple of 2998 and 3003

LCM of 2998 and 3003 is 9002994

Least common multiple can be found by multiplying the highest exponent prime factors of 2998 and 3003. First we will calculate the prime factors of 2998 and 3003.

Prime Factorization of 2998


2 2998
1499 1499
1

Prime factors of 2998 are 2,1499. Prime factorization of 2998 in exponential form is:

2998 = 21×14991

Prime Factorization of 3003


3 3003
7 1001
11 143
13 13
1

Prime factors of 3003 are 3, 7, 11,13. Prime factorization of 3003 in exponential form is:

3003 = 31×71×111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 2998 and 3003.

LCM(2998,3003) = 21×31×71×111×131×14991
LCM(2998,3003) = 9002994

Factors of 2998

List of positive integer factors of 2998 that divides 2998 without a remainder.

1, 2, 1499, 2998

Factors of 3003

List of positive integer factors of 3003 that divides 3003 without a remainder.

1, 3, 7, 11, 13, 21, 33, 39, 77, 91, 143, 231, 273, 429, 1001, 3003

Least Common Multiple of 2998 and 3003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2998 and 3003, than apply into the LCM equation.

GCF(2998,3003) = 1
LCM(2998,3003) = ( 2998 × 3003) / 1
LCM(2998,3003) = 9002994 / 1
LCM(2998,3003) = 9002994

Properties of LCM 2998 and 3003

(i) The LCM of 3003 and 2998 is associative

LCM of 2998 and 3003 = LCM of 3003 and 2998

Related Least Common Multiples of 2998

Related Least Common Multiples of 3003

Frequently Asked Questions on LCM of 2998 and 3003

1. What is the LCM of 2998 and 3003?

Answer: LCM of 2998 and 3003 is 9002994.

2. What are the Factors of 2998?

Answer: Factors of 2998 are 1, 2, 1499, 2998. There are 4 integers that are factors of 2998. The greatest factor of 2998 is 2998.

3. What are the Factors of 3003?

Answer: Factors of 3003 are 1, 3, 7, 11, 13, 21, 33, 39, 77, 91, 143, 231, 273, 429, 1001, 3003. There are 16 integers that are factors of 3003. The greatest factor of 3003 is 3003.

4. How to Find the LCM of 2998 and 3003?

Answer:

Least Common Multiple of 2998 and 3003 = 9002994

Step 1: Find the prime factorization of 2998

2998 = 2 x 1499

Step 2: Find the prime factorization of 3003

3003 = 3 x 7 x 11 x 13

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

LCM = 9002994 = 2 x 3 x 7 x 11 x 13 x 1499

Step 4: Therefore, the least common multiple of 2998 and 3003 is 9002994.