What is the Least Common Multiple of 58419 and 58433?

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 58419 and 58433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58419 and 58433, than apply into the LCM equation.

GCF(58419,58433) = 1
LCM(58419,58433) = ( 58419 × 58433) / 1
LCM(58419,58433) = 3413597427 / 1
LCM(58419,58433) = 3413597427

Least Common Multiple (LCM) of 58419 and 58433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58419 and 58433. First we will calculate the prime factors of 58419 and 58433.

Prime Factorization of 58419

Prime Factorization of 58433

Now multiplying the highest exponent prime factors to calculate the LCM of 58419 and 58433.

LCM(58419,58433) = 3² × 6491¹ × 71¹ × 823¹
LCM(58419,58433) = 3413597427