What is the Least Common Multiple of 59259 and 59268?

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 59259 and 59268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59259 and 59268, than apply into the LCM equation.

GCF(59259,59268) = 3
LCM(59259,59268) = ( 59259 × 59268) / 3
LCM(59259,59268) = 3512162412 / 3
LCM(59259,59268) = 1170720804

Least Common Multiple (LCM) of 59259 and 59268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59259 and 59268. First we will calculate the prime factors of 59259 and 59268.

Prime Factorization of 59259

Prime Factorization of 59268

Now multiplying the highest exponent prime factors to calculate the LCM of 59259 and 59268.

LCM(59259,59268) = 3¹ × 19753¹ × 2² × 11¹ × 449¹
LCM(59259,59268) = 1170720804