What is the Least Common Multiple of 96585 and 96596?

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 96585 and 96596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96585 and 96596, than apply into the LCM equation.

GCF(96585,96596) = 1
LCM(96585,96596) = ( 96585 × 96596) / 1
LCM(96585,96596) = 9329724660 / 1
LCM(96585,96596) = 9329724660

Least Common Multiple (LCM) of 96585 and 96596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96585 and 96596. First we will calculate the prime factors of 96585 and 96596.

Prime Factorization of 96585

Prime Factorization of 96596

Now multiplying the highest exponent prime factors to calculate the LCM of 96585 and 96596.

LCM(96585,96596) = 3¹ × 5¹ × 47¹ × 137¹ × 2² × 19¹ × 31¹ × 41¹
LCM(96585,96596) = 9329724660