What is the Least Common Multiple of 33105 and 33125?

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 33105 and 33125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33105 and 33125, than apply into the LCM equation.

GCF(33105,33125) = 5
LCM(33105,33125) = ( 33105 × 33125) / 5
LCM(33105,33125) = 1096603125 / 5
LCM(33105,33125) = 219320625

Least Common Multiple (LCM) of 33105 and 33125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33105 and 33125. First we will calculate the prime factors of 33105 and 33125.

Prime Factorization of 33105

Prime Factorization of 33125

Now multiplying the highest exponent prime factors to calculate the LCM of 33105 and 33125.

LCM(33105,33125) = 3¹ × 5⁴ × 2207¹ × 53¹
LCM(33105,33125) = 219320625