What is the Least Common Multiple of 47919 and 47937?

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 47919 and 47937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47919 and 47937, than apply into the LCM equation.

GCF(47919,47937) = 3
LCM(47919,47937) = ( 47919 × 47937) / 3
LCM(47919,47937) = 2297093103 / 3
LCM(47919,47937) = 765697701

Least Common Multiple (LCM) of 47919 and 47937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47919 and 47937. First we will calculate the prime factors of 47919 and 47937.

Prime Factorization of 47919

Prime Factorization of 47937

Now multiplying the highest exponent prime factors to calculate the LCM of 47919 and 47937.

LCM(47919,47937) = 3¹ × 15973¹ × 19¹ × 29²
LCM(47919,47937) = 765697701