What is the Least Common Multiple of 47772 and 47787?

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 47787 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 47787, than apply into the LCM equation.

GCF(47772,47787) = 3
LCM(47772,47787) = ( 47772 × 47787) / 3
LCM(47772,47787) = 2282880564 / 3
LCM(47772,47787) = 760960188

Least Common Multiple (LCM) of 47772 and 47787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47772 and 47787. First we will calculate the prime factors of 47772 and 47787.

Prime Factorization of 47772

Prime Factorization of 47787

Now multiplying the highest exponent prime factors to calculate the LCM of 47772 and 47787.

LCM(47772,47787) = 2² × 3² × 1327¹ × 17¹ × 937¹
LCM(47772,47787) = 760960188