What is the Least Common Multiple of 93384 and 93400?

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 93384 and 93400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93384 and 93400, than apply into the LCM equation.

GCF(93384,93400) = 8
LCM(93384,93400) = ( 93384 × 93400) / 8
LCM(93384,93400) = 8722065600 / 8
LCM(93384,93400) = 1090258200

Least Common Multiple (LCM) of 93384 and 93400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93384 and 93400. First we will calculate the prime factors of 93384 and 93400.

Prime Factorization of 93384

Prime Factorization of 93400

Now multiplying the highest exponent prime factors to calculate the LCM of 93384 and 93400.

LCM(93384,93400) = 2³ × 3² × 1297¹ × 5² × 467¹
LCM(93384,93400) = 1090258200