What is the Least Common Multiple of 96308 and 96322?

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 96308 and 96322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96308 and 96322, than apply into the LCM equation.

GCF(96308,96322) = 2
LCM(96308,96322) = ( 96308 × 96322) / 2
LCM(96308,96322) = 9276579176 / 2
LCM(96308,96322) = 4638289588

Least Common Multiple (LCM) of 96308 and 96322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96308 and 96322. First we will calculate the prime factors of 96308 and 96322.

Prime Factorization of 96308

Prime Factorization of 96322

Now multiplying the highest exponent prime factors to calculate the LCM of 96308 and 96322.

LCM(96308,96322) = 2² × 24077¹ × 17¹ × 2833¹
LCM(96308,96322) = 4638289588