What is the Least Common Multiple of 93285 and 93300?

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 93285 and 93300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93285 and 93300, than apply into the LCM equation.

GCF(93285,93300) = 15
LCM(93285,93300) = ( 93285 × 93300) / 15
LCM(93285,93300) = 8703490500 / 15
LCM(93285,93300) = 580232700

Least Common Multiple (LCM) of 93285 and 93300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93285 and 93300. First we will calculate the prime factors of 93285 and 93300.

Prime Factorization of 93285

Prime Factorization of 93300

Now multiplying the highest exponent prime factors to calculate the LCM of 93285 and 93300.

LCM(93285,93300) = 3³ × 5² × 691¹ × 2² × 311¹
LCM(93285,93300) = 580232700