What is the Least Common Multiple of 93412 and 93424?

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 93412 and 93424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93412 and 93424, than apply into the LCM equation.

GCF(93412,93424) = 4
LCM(93412,93424) = ( 93412 × 93424) / 4
LCM(93412,93424) = 8726922688 / 4
LCM(93412,93424) = 2181730672

Least Common Multiple (LCM) of 93412 and 93424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93412 and 93424. First we will calculate the prime factors of 93412 and 93424.

Prime Factorization of 93412

Prime Factorization of 93424

Now multiplying the highest exponent prime factors to calculate the LCM of 93412 and 93424.

LCM(93412,93424) = 2⁴ × 11² × 193¹ × 5839¹
LCM(93412,93424) = 2181730672