What is the Least Common Multiple of 93888 and 93900?

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 93888 and 93900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93888 and 93900, than apply into the LCM equation.

GCF(93888,93900) = 12
LCM(93888,93900) = ( 93888 × 93900) / 12
LCM(93888,93900) = 8816083200 / 12
LCM(93888,93900) = 734673600

Least Common Multiple (LCM) of 93888 and 93900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93888 and 93900. First we will calculate the prime factors of 93888 and 93900.

Prime Factorization of 93888

Prime Factorization of 93900

Now multiplying the highest exponent prime factors to calculate the LCM of 93888 and 93900.

LCM(93888,93900) = 2⁶ × 3² × 163¹ × 5² × 313¹
LCM(93888,93900) = 734673600