What is the Least Common Multiple of 89478 and 89484?

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 89478 and 89484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89478 and 89484, than apply into the LCM equation.

GCF(89478,89484) = 6
LCM(89478,89484) = ( 89478 × 89484) / 6
LCM(89478,89484) = 8006849352 / 6
LCM(89478,89484) = 1334474892

Least Common Multiple (LCM) of 89478 and 89484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89478 and 89484. First we will calculate the prime factors of 89478 and 89484.

Prime Factorization of 89478

Prime Factorization of 89484

Now multiplying the highest exponent prime factors to calculate the LCM of 89478 and 89484.

LCM(89478,89484) = 2² × 3³ × 1657¹ × 7457¹
LCM(89478,89484) = 1334474892