What is the Least Common Multiple of 93900 and 93912?

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 93900 and 93912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93900 and 93912, than apply into the LCM equation.

GCF(93900,93912) = 12
LCM(93900,93912) = ( 93900 × 93912) / 12
LCM(93900,93912) = 8818336800 / 12
LCM(93900,93912) = 734861400

Least Common Multiple (LCM) of 93900 and 93912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93900 and 93912. First we will calculate the prime factors of 93900 and 93912.

Prime Factorization of 93900

Prime Factorization of 93912

Now multiplying the highest exponent prime factors to calculate the LCM of 93900 and 93912.

LCM(93900,93912) = 2³ × 3¹ × 5² × 313¹ × 7¹ × 13¹ × 43¹
LCM(93900,93912) = 734861400