What is the Least Common Multiple of 58570 and 58575?

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 58570 and 58575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58570 and 58575, than apply into the LCM equation.

GCF(58570,58575) = 5
LCM(58570,58575) = ( 58570 × 58575) / 5
LCM(58570,58575) = 3430737750 / 5
LCM(58570,58575) = 686147550

Least Common Multiple (LCM) of 58570 and 58575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58570 and 58575. First we will calculate the prime factors of 58570 and 58575.

Prime Factorization of 58570

Prime Factorization of 58575

Now multiplying the highest exponent prime factors to calculate the LCM of 58570 and 58575.

LCM(58570,58575) = 2¹ × 5² × 5857¹ × 3¹ × 11¹ × 71¹
LCM(58570,58575) = 686147550