What is the Least Common Multiple of 33300 and 33312?

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 33300 and 33312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33300 and 33312, than apply into the LCM equation.

GCF(33300,33312) = 12
LCM(33300,33312) = ( 33300 × 33312) / 12
LCM(33300,33312) = 1109289600 / 12
LCM(33300,33312) = 92440800

Least Common Multiple (LCM) of 33300 and 33312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33300 and 33312. First we will calculate the prime factors of 33300 and 33312.

Prime Factorization of 33300

Prime Factorization of 33312

Now multiplying the highest exponent prime factors to calculate the LCM of 33300 and 33312.

LCM(33300,33312) = 2⁵ × 3² × 5² × 37¹ × 347¹
LCM(33300,33312) = 92440800