What is the Least Common Multiple of 93150 and 93165?

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 93150 and 93165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93150 and 93165, than apply into the LCM equation.

GCF(93150,93165) = 15
LCM(93150,93165) = ( 93150 × 93165) / 15
LCM(93150,93165) = 8678319750 / 15
LCM(93150,93165) = 578554650

Least Common Multiple (LCM) of 93150 and 93165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93150 and 93165. First we will calculate the prime factors of 93150 and 93165.

Prime Factorization of 93150

Prime Factorization of 93165

Now multiplying the highest exponent prime factors to calculate the LCM of 93150 and 93165.

LCM(93150,93165) = 2¹ × 3⁴ × 5² × 23¹ × 6211¹
LCM(93150,93165) = 578554650