What is the Least Common Multiple of 57555 and 57575?

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 57555 and 57575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57555 and 57575, than apply into the LCM equation.

GCF(57555,57575) = 5
LCM(57555,57575) = ( 57555 × 57575) / 5
LCM(57555,57575) = 3313729125 / 5
LCM(57555,57575) = 662745825

Least Common Multiple (LCM) of 57555 and 57575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57555 and 57575. First we will calculate the prime factors of 57555 and 57575.

Prime Factorization of 57555

Prime Factorization of 57575

Now multiplying the highest exponent prime factors to calculate the LCM of 57555 and 57575.

LCM(57555,57575) = 3² × 5² × 1279¹ × 7² × 47¹
LCM(57555,57575) = 662745825