What is the Least Common Multiple of 96300 and 96308?

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 96300 and 96308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96300 and 96308, than apply into the LCM equation.

GCF(96300,96308) = 4
LCM(96300,96308) = ( 96300 × 96308) / 4
LCM(96300,96308) = 9274460400 / 4
LCM(96300,96308) = 2318615100

Least Common Multiple (LCM) of 96300 and 96308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96300 and 96308. First we will calculate the prime factors of 96300 and 96308.

Prime Factorization of 96300

Prime Factorization of 96308

Now multiplying the highest exponent prime factors to calculate the LCM of 96300 and 96308.

LCM(96300,96308) = 2² × 3² × 5² × 107¹ × 24077¹
LCM(96300,96308) = 2318615100