What is the Least Common Multiple of 94440 and 94459?

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 94440 and 94459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94440 and 94459, than apply into the LCM equation.

GCF(94440,94459) = 1
LCM(94440,94459) = ( 94440 × 94459) / 1
LCM(94440,94459) = 8920707960 / 1
LCM(94440,94459) = 8920707960

Least Common Multiple (LCM) of 94440 and 94459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94440 and 94459. First we will calculate the prime factors of 94440 and 94459.

Prime Factorization of 94440

Prime Factorization of 94459

Now multiplying the highest exponent prime factors to calculate the LCM of 94440 and 94459.

LCM(94440,94459) = 2³ × 3¹ × 5¹ × 787¹ × 59¹ × 1601¹
LCM(94440,94459) = 8920707960