GCF and LCM Calculator Logo

What is the Least Common Multiple of 2003 and 2011?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 2003 and 2011 is 4028033.

LCM(2003,2011) = 4028033

LCM Calculator and
and

Least Common Multiple of 2003 and 2011 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 2011, than apply into the LCM equation.

GCF(2003,2011) = 1
LCM(2003,2011) = ( 2003 × 2011) / 1
LCM(2003,2011) = 4028033 / 1
LCM(2003,2011) = 4028033

Least Common Multiple (LCM) of 2003 and 2011 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2003 and 2011. First we will calculate the prime factors of 2003 and 2011.

Prime Factorization of 2003

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

2003 = 20031

Prime Factorization of 2011

Prime factors of 2011 are 2011. Prime factorization of 2011 in exponential form is:

2011 = 20111

Now multiplying the highest exponent prime factors to calculate the LCM of 2003 and 2011.

LCM(2003,2011) = 20031 × 20111
LCM(2003,2011) = 4028033