What is the Least Common Multiple of 93316 and 93336?

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 93316 and 93336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93316 and 93336, than apply into the LCM equation.

GCF(93316,93336) = 4
LCM(93316,93336) = ( 93316 × 93336) / 4
LCM(93316,93336) = 8709742176 / 4
LCM(93316,93336) = 2177435544

Least Common Multiple (LCM) of 93316 and 93336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93316 and 93336. First we will calculate the prime factors of 93316 and 93336.

Prime Factorization of 93316

Prime Factorization of 93336

Now multiplying the highest exponent prime factors to calculate the LCM of 93316 and 93336.

LCM(93316,93336) = 2³ × 41¹ × 569¹ × 3¹ × 3889¹
LCM(93316,93336) = 2177435544