What is the Least Common Multiple of 33365 and 33375?

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 33365 and 33375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33365 and 33375, than apply into the LCM equation.

GCF(33365,33375) = 5
LCM(33365,33375) = ( 33365 × 33375) / 5
LCM(33365,33375) = 1113556875 / 5
LCM(33365,33375) = 222711375

Least Common Multiple (LCM) of 33365 and 33375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33365 and 33375. First we will calculate the prime factors of 33365 and 33375.

Prime Factorization of 33365

Prime Factorization of 33375

Now multiplying the highest exponent prime factors to calculate the LCM of 33365 and 33375.

LCM(33365,33375) = 5³ × 6673¹ × 3¹ × 89¹
LCM(33365,33375) = 222711375