What is the Least Common Multiple of 93424 and 93439?

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 93424 and 93439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93424 and 93439, than apply into the LCM equation.

GCF(93424,93439) = 1
LCM(93424,93439) = ( 93424 × 93439) / 1
LCM(93424,93439) = 8729445136 / 1
LCM(93424,93439) = 8729445136

Least Common Multiple (LCM) of 93424 and 93439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93424 and 93439. First we will calculate the prime factors of 93424 and 93439.

Prime Factorization of 93424

Prime Factorization of 93439

Now multiplying the highest exponent prime factors to calculate the LCM of 93424 and 93439.

LCM(93424,93439) = 2⁴ × 5839¹ × 41¹ × 43¹ × 53¹
LCM(93424,93439) = 8729445136