What is the Least Common Multiple of 96239 and 96259?

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 96239 and 96259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96239 and 96259, than apply into the LCM equation.

GCF(96239,96259) = 1
LCM(96239,96259) = ( 96239 × 96259) / 1
LCM(96239,96259) = 9263869901 / 1
LCM(96239,96259) = 9263869901

Least Common Multiple (LCM) of 96239 and 96259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96239 and 96259. First we will calculate the prime factors of 96239 and 96259.

Prime Factorization of 96239

Prime Factorization of 96259

Now multiplying the highest exponent prime factors to calculate the LCM of 96239 and 96259.

LCM(96239,96259) = 11¹ × 13¹ × 673¹ × 96259¹
LCM(96239,96259) = 9263869901