What is the Least Common Multiple of 33057 and 33073?

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 33057 and 33073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33057 and 33073, than apply into the LCM equation.

GCF(33057,33073) = 1
LCM(33057,33073) = ( 33057 × 33073) / 1
LCM(33057,33073) = 1093294161 / 1
LCM(33057,33073) = 1093294161

Least Common Multiple (LCM) of 33057 and 33073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33057 and 33073. First we will calculate the prime factors of 33057 and 33073.

Prime Factorization of 33057

Prime Factorization of 33073

Now multiplying the highest exponent prime factors to calculate the LCM of 33057 and 33073.

LCM(33057,33073) = 3² × 3673¹ × 33073¹
LCM(33057,33073) = 1093294161