What is the Least Common Multiple of 93225 and 93240?

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 93225 and 93240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93225 and 93240, than apply into the LCM equation.

GCF(93225,93240) = 15
LCM(93225,93240) = ( 93225 × 93240) / 15
LCM(93225,93240) = 8692299000 / 15
LCM(93225,93240) = 579486600

Least Common Multiple (LCM) of 93225 and 93240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93225 and 93240. First we will calculate the prime factors of 93225 and 93240.

Prime Factorization of 93225

Prime Factorization of 93240

Now multiplying the highest exponent prime factors to calculate the LCM of 93225 and 93240.

LCM(93225,93240) = 3² × 5² × 11¹ × 113¹ × 2³ × 7¹ × 37¹
LCM(93225,93240) = 579486600