What is the Least Common Multiple of 96398 and 96417?

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 96398 and 96417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96398 and 96417, than apply into the LCM equation.

GCF(96398,96417) = 1
LCM(96398,96417) = ( 96398 × 96417) / 1
LCM(96398,96417) = 9294405966 / 1
LCM(96398,96417) = 9294405966

Least Common Multiple (LCM) of 96398 and 96417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96398 and 96417. First we will calculate the prime factors of 96398 and 96417.

Prime Factorization of 96398

Prime Factorization of 96417

Now multiplying the highest exponent prime factors to calculate the LCM of 96398 and 96417.

LCM(96398,96417) = 2¹ × 157¹ × 307¹ × 3³ × 3571¹
LCM(96398,96417) = 9294405966