What is the Least Common Multiple of 47205 and 47220?

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 47205 and 47220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47205 and 47220, than apply into the LCM equation.

GCF(47205,47220) = 15
LCM(47205,47220) = ( 47205 × 47220) / 15
LCM(47205,47220) = 2229020100 / 15
LCM(47205,47220) = 148601340

Least Common Multiple (LCM) of 47205 and 47220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47205 and 47220. First we will calculate the prime factors of 47205 and 47220.

Prime Factorization of 47205

Prime Factorization of 47220

Now multiplying the highest exponent prime factors to calculate the LCM of 47205 and 47220.

LCM(47205,47220) = 3² × 5¹ × 1049¹ × 2² × 787¹
LCM(47205,47220) = 148601340