What is the Least Common Multiple of 93300 and 93309?

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 93309 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 93309, than apply into the LCM equation.

GCF(93300,93309) = 3
LCM(93300,93309) = ( 93300 × 93309) / 3
LCM(93300,93309) = 8705729700 / 3
LCM(93300,93309) = 2901909900

Least Common Multiple (LCM) of 93300 and 93309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93300 and 93309. First we will calculate the prime factors of 93300 and 93309.

Prime Factorization of 93300

Prime Factorization of 93309

Now multiplying the highest exponent prime factors to calculate the LCM of 93300 and 93309.

LCM(93300,93309) = 2² × 3¹ × 5² × 311¹ × 19¹ × 1637¹
LCM(93300,93309) = 2901909900