What is the Least Common Multiple of 47772 and 47779?

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 47772 and 47779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47772 and 47779, than apply into the LCM equation.

GCF(47772,47779) = 1
LCM(47772,47779) = ( 47772 × 47779) / 1
LCM(47772,47779) = 2282498388 / 1
LCM(47772,47779) = 2282498388

Least Common Multiple (LCM) of 47772 and 47779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47772 and 47779. First we will calculate the prime factors of 47772 and 47779.

Prime Factorization of 47772

Prime Factorization of 47779

Now multiplying the highest exponent prime factors to calculate the LCM of 47772 and 47779.

LCM(47772,47779) = 2² × 3² × 1327¹ × 47779¹
LCM(47772,47779) = 2282498388