What is the Least Common Multiple of 96258 and 96268?

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 96258 and 96268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96258 and 96268, than apply into the LCM equation.

GCF(96258,96268) = 2
LCM(96258,96268) = ( 96258 × 96268) / 2
LCM(96258,96268) = 9266565144 / 2
LCM(96258,96268) = 4633282572

Least Common Multiple (LCM) of 96258 and 96268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96258 and 96268. First we will calculate the prime factors of 96258 and 96268.

Prime Factorization of 96258

Prime Factorization of 96268

Now multiplying the highest exponent prime factors to calculate the LCM of 96258 and 96268.

LCM(96258,96268) = 2² × 3¹ × 61¹ × 263¹ × 41¹ × 587¹
LCM(96258,96268) = 4633282572