What is the Least Common Multiple of 33075 and 33085?

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 33075 and 33085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33075 and 33085, than apply into the LCM equation.

GCF(33075,33085) = 5
LCM(33075,33085) = ( 33075 × 33085) / 5
LCM(33075,33085) = 1094286375 / 5
LCM(33075,33085) = 218857275

Least Common Multiple (LCM) of 33075 and 33085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33075 and 33085. First we will calculate the prime factors of 33075 and 33085.

Prime Factorization of 33075

Prime Factorization of 33085

Now multiplying the highest exponent prime factors to calculate the LCM of 33075 and 33085.

LCM(33075,33085) = 3³ × 5² × 7² × 13¹ × 509¹
LCM(33075,33085) = 218857275