What is the Least Common Multiple of 94468 and 94487?

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 94468 and 94487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94468 and 94487, than apply into the LCM equation.

GCF(94468,94487) = 19
LCM(94468,94487) = ( 94468 × 94487) / 19
LCM(94468,94487) = 8925997916 / 19
LCM(94468,94487) = 469789364

Least Common Multiple (LCM) of 94468 and 94487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94468 and 94487. First we will calculate the prime factors of 94468 and 94487.

Prime Factorization of 94468

Prime Factorization of 94487

Now multiplying the highest exponent prime factors to calculate the LCM of 94468 and 94487.

LCM(94468,94487) = 2² × 11¹ × 19¹ × 113¹ × 4973¹
LCM(94468,94487) = 469789364