GCF and LCM Calculator Logo

What is the Least Common Multiple of 3003 and 3017?

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 3003 and 3017 is 1294293.

LCM(3003,3017) = 1294293

LCM Calculator and
and

Least Common Multiple of 3003 and 3017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3003 and 3017, than apply into the LCM equation.

GCF(3003,3017) = 7
LCM(3003,3017) = ( 3003 × 3017) / 7
LCM(3003,3017) = 9060051 / 7
LCM(3003,3017) = 1294293

Least Common Multiple (LCM) of 3003 and 3017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3003 and 3017. First we will calculate the prime factors of 3003 and 3017.

Prime Factorization of 3003

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

3003 = 31 × 71 × 111 × 131

Prime Factorization of 3017

Prime factors of 3017 are 7, 431. Prime factorization of 3017 in exponential form is:

3017 = 71 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 3003 and 3017.

LCM(3003,3017) = 31 × 71 × 111 × 131 × 4311
LCM(3003,3017) = 1294293