What is the Least Common Multiple of 96300 and 96312?

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 96312 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 96312, than apply into the LCM equation.

GCF(96300,96312) = 12
LCM(96300,96312) = ( 96300 × 96312) / 12
LCM(96300,96312) = 9274845600 / 12
LCM(96300,96312) = 772903800

Least Common Multiple (LCM) of 96300 and 96312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96300 and 96312. First we will calculate the prime factors of 96300 and 96312.

Prime Factorization of 96300

Prime Factorization of 96312

Now multiplying the highest exponent prime factors to calculate the LCM of 96300 and 96312.

LCM(96300,96312) = 2³ × 3² × 5² × 107¹ × 4013¹
LCM(96300,96312) = 772903800