What is the Least Common Multiple of 33003 and 33019?

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 of 33003 and 33019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33003 and 33019, than apply into the LCM equation.

GCF(33003,33019) = 1
LCM(33003,33019) = ( 33003 × 33019) / 1
LCM(33003,33019) = 1089726057 / 1
LCM(33003,33019) = 1089726057

Least Common Multiple (LCM) of 33003 and 33019 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33003 and 33019. First we will calculate the prime factors of 33003 and 33019.

Prime Factorization of 33003

Prime Factorization of 33019

Now multiplying the highest exponent prime factors to calculate the LCM of 33003 and 33019.

LCM(33003,33019) = 3² × 19¹ × 193¹ × 7¹ × 53¹ × 89¹
LCM(33003,33019) = 1089726057