What is the Least Common Multiple of 48204 and 48216?

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 48204 and 48216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48204 and 48216, than apply into the LCM equation.

GCF(48204,48216) = 12
LCM(48204,48216) = ( 48204 × 48216) / 12
LCM(48204,48216) = 2324204064 / 12
LCM(48204,48216) = 193683672

Least Common Multiple (LCM) of 48204 and 48216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48204 and 48216. First we will calculate the prime factors of 48204 and 48216.

Prime Factorization of 48204

Prime Factorization of 48216

Now multiplying the highest exponent prime factors to calculate the LCM of 48204 and 48216.

LCM(48204,48216) = 2³ × 3² × 13¹ × 103¹ × 7² × 41¹
LCM(48204,48216) = 193683672