What is the Least Common Multiple of 93384 and 93396?

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 93396 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 93396, than apply into the LCM equation.

GCF(93384,93396) = 12
LCM(93384,93396) = ( 93384 × 93396) / 12
LCM(93384,93396) = 8721692064 / 12
LCM(93384,93396) = 726807672

Least Common Multiple (LCM) of 93384 and 93396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93384 and 93396. First we will calculate the prime factors of 93384 and 93396.

Prime Factorization of 93384

Prime Factorization of 93396

Now multiplying the highest exponent prime factors to calculate the LCM of 93384 and 93396.

LCM(93384,93396) = 2³ × 3² × 1297¹ × 43¹ × 181¹
LCM(93384,93396) = 726807672