What is the Least Common Multiple of 96566 and 96570?

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 96566 and 96570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96566 and 96570, than apply into the LCM equation.

GCF(96566,96570) = 2
LCM(96566,96570) = ( 96566 × 96570) / 2
LCM(96566,96570) = 9325378620 / 2
LCM(96566,96570) = 4662689310

Least Common Multiple (LCM) of 96566 and 96570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96566 and 96570. First we will calculate the prime factors of 96566 and 96570.

Prime Factorization of 96566

Prime Factorization of 96570

Now multiplying the highest exponent prime factors to calculate the LCM of 96566 and 96570.

LCM(96566,96570) = 2¹ × 53¹ × 911¹ × 3² × 5¹ × 29¹ × 37¹
LCM(96566,96570) = 4662689310