What is the Least Common Multiple of 96570 and 96575?

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 96570 and 96575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96570 and 96575, than apply into the LCM equation.

GCF(96570,96575) = 5
LCM(96570,96575) = ( 96570 × 96575) / 5
LCM(96570,96575) = 9326247750 / 5
LCM(96570,96575) = 1865249550

Least Common Multiple (LCM) of 96570 and 96575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96570 and 96575. First we will calculate the prime factors of 96570 and 96575.

Prime Factorization of 96570

Prime Factorization of 96575

Now multiplying the highest exponent prime factors to calculate the LCM of 96570 and 96575.

LCM(96570,96575) = 2¹ × 3² × 5² × 29¹ × 37¹ × 3863¹
LCM(96570,96575) = 1865249550