What is the Least Common Multiple of 47796 and 47808?

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 47796 and 47808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47796 and 47808, than apply into the LCM equation.

GCF(47796,47808) = 12
LCM(47796,47808) = ( 47796 × 47808) / 12
LCM(47796,47808) = 2285031168 / 12
LCM(47796,47808) = 190419264

Least Common Multiple (LCM) of 47796 and 47808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47796 and 47808. First we will calculate the prime factors of 47796 and 47808.

Prime Factorization of 47796

Prime Factorization of 47808

Now multiplying the highest exponent prime factors to calculate the LCM of 47796 and 47808.

LCM(47796,47808) = 2⁶ × 3² × 7¹ × 569¹ × 83¹
LCM(47796,47808) = 190419264