What is the Least Common Multiple of 59555 and 59575?

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 59555 and 59575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59555 and 59575, than apply into the LCM equation.

GCF(59555,59575) = 5
LCM(59555,59575) = ( 59555 × 59575) / 5
LCM(59555,59575) = 3547989125 / 5
LCM(59555,59575) = 709597825

Least Common Multiple (LCM) of 59555 and 59575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59555 and 59575. First we will calculate the prime factors of 59555 and 59575.

Prime Factorization of 59555

Prime Factorization of 59575

Now multiplying the highest exponent prime factors to calculate the LCM of 59555 and 59575.

LCM(59555,59575) = 5² × 43¹ × 277¹ × 2383¹
LCM(59555,59575) = 709597825