Least Common Multiple of 2003 and 2006

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2003 and 2006 the smallest integer that is 4018018 that is divisible by both numbers.

Least Common Multiple (LCM) of 2003 and 2006 is 4018018.

LCM(2003,2006) = 4018018

LCM of 2003 and 2006

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

LCM of:
and

Least Common Multiple of 2003 and 2006

LCM of 2003 and 2006 is 4018018

Least common multiple can be found by multiplying the highest exponent prime factors of 2003 and 2006. First we will calculate the prime factors of 2003 and 2006.

Prime Factorization of 2003


2003 2003
1

Prime factors of 2003 are 2003. Prime factorization of 2003 in exponential form is:

2003 = 20031

Prime Factorization of 2006


2 2006
17 1003
59 59
1

Prime factors of 2006 are 2, 17,59. Prime factorization of 2006 in exponential form is:

2006 = 21×171×591

Now multiplying the highest exponent prime factors to calculate the LCM of 2003 and 2006.

LCM(2003,2006) = 21×171×591×20031
LCM(2003,2006) = 4018018

Factors of 2003

List of positive integer factors of 2003 that divides 2003 without a remainder.

1, 2003

Factors of 2006

List of positive integer factors of 2006 that divides 2006 without a remainder.

1, 2, 17, 34, 59, 118, 1003, 2006

Least Common Multiple of 2003 and 2006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2003 and 2006, than apply into the LCM equation.

GCF(2003,2006) = 1
LCM(2003,2006) = ( 2003 × 2006) / 1
LCM(2003,2006) = 4018018 / 1
LCM(2003,2006) = 4018018

Properties of LCM 2003 and 2006

(i) The LCM of 2006 and 2003 is associative

LCM of 2003 and 2006 = LCM of 2006 and 2003

Related Least Common Multiples of 2003

Related Least Common Multiples of 2006

Frequently Asked Questions on LCM of 2003 and 2006

1. What is the LCM of 2003 and 2006?

Answer: LCM of 2003 and 2006 is 4018018.

2. What are the Factors of 2003?

Answer: Factors of 2003 are 1, 2003. There are 2 integers that are factors of 2003. The greatest factor of 2003 is 2003.

3. What are the Factors of 2006?

Answer: Factors of 2006 are 1, 2, 17, 34, 59, 118, 1003, 2006. There are 8 integers that are factors of 2006. The greatest factor of 2006 is 2006.

4. How to Find the LCM of 2003 and 2006?

Answer:

Least Common Multiple of 2003 and 2006 = 4018018

Step 1: Find the prime factorization of 2003

2003 = 2003

Step 2: Find the prime factorization of 2006

2006 = 2 x 17 x 59

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

LCM = 4018018 = 2 x 17 x 59 x 2003

Step 4: Therefore, the least common multiple of 2003 and 2006 is 4018018.