What is the Least Common Multiple of 47772 and 47789?

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 47789 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 47789, than apply into the LCM equation.

GCF(47772,47789) = 1
LCM(47772,47789) = ( 47772 × 47789) / 1
LCM(47772,47789) = 2282976108 / 1
LCM(47772,47789) = 2282976108

Least Common Multiple (LCM) of 47772 and 47789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47772 and 47789. First we will calculate the prime factors of 47772 and 47789.

Prime Factorization of 47772

Prime Factorization of 47789

Now multiplying the highest exponent prime factors to calculate the LCM of 47772 and 47789.

LCM(47772,47789) = 2² × 3² × 1327¹ × 7¹ × 6827¹
LCM(47772,47789) = 2282976108