What is the Least Common Multiple of 33057 and 33065?

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 33065 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 33065, than apply into the LCM equation.

GCF(33057,33065) = 1
LCM(33057,33065) = ( 33057 × 33065) / 1
LCM(33057,33065) = 1093029705 / 1
LCM(33057,33065) = 1093029705

Least Common Multiple (LCM) of 33057 and 33065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33057 and 33065. First we will calculate the prime factors of 33057 and 33065.

Prime Factorization of 33057

Prime Factorization of 33065

Now multiplying the highest exponent prime factors to calculate the LCM of 33057 and 33065.

LCM(33057,33065) = 3² × 3673¹ × 5¹ × 17¹ × 389¹
LCM(33057,33065) = 1093029705