What is the Least Common Multiple of 96312 and 96324?

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 96312 and 96324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96312 and 96324, than apply into the LCM equation.

GCF(96312,96324) = 12
LCM(96312,96324) = ( 96312 × 96324) / 12
LCM(96312,96324) = 9277157088 / 12
LCM(96312,96324) = 773096424

Least Common Multiple (LCM) of 96312 and 96324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96312 and 96324. First we will calculate the prime factors of 96312 and 96324.

Prime Factorization of 96312

Prime Factorization of 96324

Now multiplying the highest exponent prime factors to calculate the LCM of 96312 and 96324.

LCM(96312,96324) = 2³ × 3¹ × 4013¹ × 23¹ × 349¹
LCM(96312,96324) = 773096424