What is the Least Common Multiple of 59250 and 59256?

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 59250 and 59256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59250 and 59256, than apply into the LCM equation.

GCF(59250,59256) = 6
LCM(59250,59256) = ( 59250 × 59256) / 6
LCM(59250,59256) = 3510918000 / 6
LCM(59250,59256) = 585153000

Least Common Multiple (LCM) of 59250 and 59256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59250 and 59256. First we will calculate the prime factors of 59250 and 59256.

Prime Factorization of 59250

Prime Factorization of 59256

Now multiplying the highest exponent prime factors to calculate the LCM of 59250 and 59256.

LCM(59250,59256) = 2³ × 3² × 5³ × 79¹ × 823¹
LCM(59250,59256) = 585153000