What is the Least Common Multiple of 33300 and 33315?

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 33315 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 33315, than apply into the LCM equation.

GCF(33300,33315) = 15
LCM(33300,33315) = ( 33300 × 33315) / 15
LCM(33300,33315) = 1109389500 / 15
LCM(33300,33315) = 73959300

Least Common Multiple (LCM) of 33300 and 33315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33300 and 33315. First we will calculate the prime factors of 33300 and 33315.

Prime Factorization of 33300

Prime Factorization of 33315

Now multiplying the highest exponent prime factors to calculate the LCM of 33300 and 33315.

LCM(33300,33315) = 2² × 3² × 5² × 37¹ × 2221¹
LCM(33300,33315) = 73959300