What is the Least Common Multiple of 60555 and 60575?

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 60555 and 60575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60555 and 60575, than apply into the LCM equation.

GCF(60555,60575) = 5
LCM(60555,60575) = ( 60555 × 60575) / 5
LCM(60555,60575) = 3668119125 / 5
LCM(60555,60575) = 733623825

Least Common Multiple (LCM) of 60555 and 60575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60555 and 60575. First we will calculate the prime factors of 60555 and 60575.

Prime Factorization of 60555

Prime Factorization of 60575

Now multiplying the highest exponent prime factors to calculate the LCM of 60555 and 60575.

LCM(60555,60575) = 3¹ × 5² × 11¹ × 367¹ × 2423¹
LCM(60555,60575) = 733623825