What is the Least Common Multiple of 59286 and 59300?

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 59286 and 59300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59286 and 59300, than apply into the LCM equation.

GCF(59286,59300) = 2
LCM(59286,59300) = ( 59286 × 59300) / 2
LCM(59286,59300) = 3515659800 / 2
LCM(59286,59300) = 1757829900

Least Common Multiple (LCM) of 59286 and 59300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59286 and 59300. First we will calculate the prime factors of 59286 and 59300.

Prime Factorization of 59286

Prime Factorization of 59300

Now multiplying the highest exponent prime factors to calculate the LCM of 59286 and 59300.

LCM(59286,59300) = 2² × 3¹ × 41¹ × 241¹ × 5² × 593¹
LCM(59286,59300) = 1757829900