What is the Least Common Multiple of 41205 and 41220?

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 41205 and 41220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41205 and 41220, than apply into the LCM equation.

GCF(41205,41220) = 15
LCM(41205,41220) = ( 41205 × 41220) / 15
LCM(41205,41220) = 1698470100 / 15
LCM(41205,41220) = 113231340

Least Common Multiple (LCM) of 41205 and 41220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41205 and 41220. First we will calculate the prime factors of 41205 and 41220.

Prime Factorization of 41205

Prime Factorization of 41220

Now multiplying the highest exponent prime factors to calculate the LCM of 41205 and 41220.

LCM(41205,41220) = 3² × 5¹ × 41¹ × 67¹ × 2² × 229¹
LCM(41205,41220) = 113231340