What is the Least Common Multiple of 93284 and 93294?

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 93284 and 93294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93284 and 93294, than apply into the LCM equation.

GCF(93284,93294) = 2
LCM(93284,93294) = ( 93284 × 93294) / 2
LCM(93284,93294) = 8702837496 / 2
LCM(93284,93294) = 4351418748

Least Common Multiple (LCM) of 93284 and 93294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93284 and 93294. First we will calculate the prime factors of 93284 and 93294.

Prime Factorization of 93284

Prime Factorization of 93294

Now multiplying the highest exponent prime factors to calculate the LCM of 93284 and 93294.

LCM(93284,93294) = 2² × 23321¹ × 3² × 71¹ × 73¹
LCM(93284,93294) = 4351418748