What is the Least Common Multiple of 96570 and 96585?

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 96585 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 96585, than apply into the LCM equation.

GCF(96570,96585) = 15
LCM(96570,96585) = ( 96570 × 96585) / 15
LCM(96570,96585) = 9327213450 / 15
LCM(96570,96585) = 621814230

Least Common Multiple (LCM) of 96570 and 96585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96570 and 96585. First we will calculate the prime factors of 96570 and 96585.

Prime Factorization of 96570

Prime Factorization of 96585

Now multiplying the highest exponent prime factors to calculate the LCM of 96570 and 96585.

LCM(96570,96585) = 2¹ × 3² × 5¹ × 29¹ × 37¹ × 47¹ × 137¹
LCM(96570,96585) = 621814230