What is the Least Common Multiple of 47872 and 47889?

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 47872 and 47889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47872 and 47889, than apply into the LCM equation.

GCF(47872,47889) = 17
LCM(47872,47889) = ( 47872 × 47889) / 17
LCM(47872,47889) = 2292542208 / 17
LCM(47872,47889) = 134855424

Least Common Multiple (LCM) of 47872 and 47889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47872 and 47889. First we will calculate the prime factors of 47872 and 47889.

Prime Factorization of 47872

Prime Factorization of 47889

Now multiplying the highest exponent prime factors to calculate the LCM of 47872 and 47889.

LCM(47872,47889) = 2⁸ × 11¹ × 17¹ × 3² × 313¹
LCM(47872,47889) = 134855424