What is the Least Common Multiple of 93300 and 93312?

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 93300 and 93312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93300 and 93312, than apply into the LCM equation.

GCF(93300,93312) = 12
LCM(93300,93312) = ( 93300 × 93312) / 12
LCM(93300,93312) = 8706009600 / 12
LCM(93300,93312) = 725500800

Least Common Multiple (LCM) of 93300 and 93312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93300 and 93312. First we will calculate the prime factors of 93300 and 93312.

Prime Factorization of 93300

Prime Factorization of 93312

Now multiplying the highest exponent prime factors to calculate the LCM of 93300 and 93312.

LCM(93300,93312) = 2⁷ × 3⁶ × 5² × 311¹
LCM(93300,93312) = 725500800