What is the Least Common Multiple of 96546 and 96559?

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 96546 and 96559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96546 and 96559, than apply into the LCM equation.

GCF(96546,96559) = 1
LCM(96546,96559) = ( 96546 × 96559) / 1
LCM(96546,96559) = 9322385214 / 1
LCM(96546,96559) = 9322385214

Least Common Multiple (LCM) of 96546 and 96559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96546 and 96559. First we will calculate the prime factors of 96546 and 96559.

Prime Factorization of 96546

Prime Factorization of 96559

Now multiplying the highest exponent prime factors to calculate the LCM of 96546 and 96559.

LCM(96546,96559) = 2¹ × 3¹ × 16091¹ × 223¹ × 433¹
LCM(96546,96559) = 9322385214